Professor Apostol Vourdas
 Title: Professor in Computing
 Email: A.Vourdas@Bradford.ac.uk
 Extension: 3950
 Room No. Horton D4.03
 Qualifications: Ph.D. Manchester (1980) D.Sc. Manchester (1995) MBCS, MIEE, FInstP, MAmPhyS,MAmMathS
 Research Groups: Applied Mathematics
BIOGRAPHY +
PhD, University of Manchester, 19771980
Postdoctoral Research Associate, University of Liverpool, 19801983
Postdoctoral Research Associate, UMIST, 19831985
Postdoctoral Research Associate, Marburg, 19851987
Lecturer and Reader, University of Liverpool, 19872002
Professor University of Bradford, 2002
DSc, University of Manchester, 1995
180 journal papers and 60 conference papers (3900 citations and hfactor=35 according to Google Scholar)
SPRINGER monograph `finite and profinite quantum systems', 2017
click here
55 invited talks and 55 contributed talks in international conferences
teaching interests: Computer Architecture, Formal Methods in Computer Science, Computer Graphics
RESEARCH IN QUANTUM COMPUTING
Finite Quantum Systems. Galois fields in Quantum Computing and applications to coding and cryptography
Algebraic number theory (e.g., padic numbers) in Quantum Mechanics and harmonic analysis.
Analytic functions in quantum computing
Group theory methods (e.g., profinite groups) in quantum computing
Lattices, topology and logic in the context of quantum computing
Timefrequency analysis, wavelets, applications to large data analysis.
Mesoscopic Josephson devices
INTERNATIONAL SCIENTIFIC ACTIVITIES +
Member of the organizing committee of the International conferences on Squeezed States and Uncertainty Relations.
Member of the standing committee of the international colloquia on group theoretical methods in physics (20092020)
Member of the advisory panel of J. Phys. A
Member of the EPSRC college
Main organizer of the '10th International conference on squeezed states and uncertainty relations' in Bradford (April 2007)
Coordinator of the UK NETWORK ON TRANSPORT DISSIPATION AND CONTROL IN QUANTUM DEVICES
Recent Talks
Analytic representations in the complex plane and unit disc.
Galois quantum systems.
Quantum Mechanics on Rational Numbers
Quantum probabilities as nonadditive probabilities
INTERNATIONAL PROFILE +
Fellowships of Professional Institutions or equivalent
Fellow of the Institute of Physics
[2001]
International Conference Organisation
Member of the international advisory committee of the 6th international conference on padic mathematical physics and its applications, Mexico City, 2017.
[2017]
Member of the advisory committee for the 12th international school on `Symmetry and Structural Properties of Condensed Matter',
Poland, Sept 2016
[2016]
member of the advisory committee of the `international conference on padic mathematical physics and its applications', Sept 2015, Belgrade
[2015]
Member of the advisory committee for the eleventh international school
on 'Symmetry and Structural Properties of Condensed Matter', Poland,
Sept 2014
[2014]
Member of the standing committee for the 30th International colloquium on group theoretical methods in physics, Ghent
[2014]
Member of the international organizing committee of the `13th International Conference on Squeezed States and Uncertainty Relations'
[2013]
member of the organizing committee of the 29th international colloquium on group theoretical methods in physics', Tianjin, China, August 2012; organizer of the parallel session:finite quantum systems and combinatorial
physics
[2012]
Member of the International Organizing Committee of the Twelfth International Conference on
Squeezed States and Uncertainty Relations, May 2011, Foz do Iguacu, Brazil
[2011]
member of the organizing committee of `GROUP28: the 28th international conference on group theoretical methods in physics', Newcastle, July 2010
[2010]
Member of the advisory committee for the tenth international school on `symmetry and structural properties of condensed matter', Poland Sept 2009
[2009]
member of the standing committee of the `international colloquia on group theoretical methods in physics', for the twelve year period (20092020)
[2009]
Member of the programme and advisory board of the `11th international conference on squeezed states and uncertainty relations' June 2009, Olomouc, Czech Republic
[2009]
Main organizer of the `tenth international conference on squeezed states and uncertainty relations', Bradford, April 2007
[2007]
Member of the advisory committee for the ninth international school on `symmetry and structural properties of condensed matter', Poland, Sept 2007
[2007]
Member of the scientific committee of the `international workshop on arithmetic finite fields' Madrid 2007
[2007]
Member of the scientific committee of the 26th International workshop on `Bayesian Inference and Maximum Entropy Methods' Paris, 2006
[2006]
Member of the advisory board for the international conference `new trands in quantum mechanics: fundamental aspects and applications', Palermo, 2005
[2005]
Member of the international committee for the `9th international conference on squeezed states and uncertainty relations' France, 2005
[2005]
member of the advisory committee for the international conference on microscopic approaches to manybody theory' Manchester, 2005
[2005]
member of the international committee for the `8th international conference on squeezed states and uncertainty relations', Mexico, 2003
[2003]
International Plenary Lectures, Conference Keynote
2017 10th International Symposium on Quantum Theory and Symmetries, Varna Bulgaria, presentation of the talk: Renormalization of total sets of states into generalized basis with resolution of the identity: a cooperative game theory approach
[2017]
2016 International conference on `Coherent states and their applications: a contemporary panorama',
Marseille, France (presentation of the talk: coherent spaces, Boolean rings and their applications)
[2016]
2016 31st International colloquium on group theoretical methods in physics, Rio de Janeiro, Brazil,
(presentation of two talks:
1. Choquet integrals of the $Q$function in statistical mechanics,
2. Weak mutually unbiased bases, finite geometries, and zeros of their analytic representations)
[2016]
2015 9th international symposium on `Quantum Theory and Symmetries', Yerevan, Armenia
(presentation of the talk: Quantum mechanics on profinite groups)
[2015]
International Conference on Problems of Mathematical and Quantum
Physics, Cuernavaca, Mexico, (presentation of the talk: Quantum
probabilities as nonadditive probabilities)
[2015]
30th International colloquium on group theoretical methods in physics, Ghent(presentation of the talk: Quantum probabilities versus Kolmogorov probabilities)
[2014]
Conference on timefrequency Analysis, Strobl, Austria, (presentation
of the talk: Harmonic analysis on Q)
[2014]
Advances in Foundations of Quantum Mechanics and Quantum
Information with atoms and photons, Torino, (presentation of the talk:
The lattice of subsystems and Belllike inequalities)
[2014]
International workshop on padic methods for modelling complex systems, Bielefeld 2013 (presentation of the talk: 'quantum mechanics on rational numbers')
[2013]
8th symposium on `quantum theory and symmetries', Mexico 2013
(presentation of the talk: `the lattice of subsystems and contextuality')
[2013]
the 29th international colloquium on group theoretical methods in physics, Tianjin, China,
(presentation of the talk: Partial order and divisor topology in a set of finite quantum systems)
[2012]
19th Central European Workshop on Quantum Optics, Romania
(presentation of the talk: Duality between lines and bases and weak
mutually unbiased bases in finite systems)
[2012]
17th European Course on Complex Analysis, its Generalizations and Applications, Aveiro, Portugal (presentation of a series of lectures on Analytic functions and their applications to quantum mechanics)
[2012]
International Workshop on Special Functions and Orthogonal Polynomials, Decin, Czech (Presentation of the talk: Quantum systems with finite Hilbert space)
[2011]
International conference on quantum optics and quantum computing, Noida, India (presentation of the talk: quantum systems with positions and momenta in GF(p^n))
[2011]
18th Central European Workshop on Quantum Optics, Madrid 2011 (presentation of the talk: Quantum systems with finite Hilbert space)
[2011]
12th International Conference on Squeezed States and Uncertainty Relations", Foz do Iguacu, Brazil, 2011 (presentation of the talk: `Quantum systems with variables in GF(p^n))
[2011]
Tenth international school on on `Symmetry and Structural Properties of Condensed Matter' Poland 2009 (presentation of the talk: Factorization of Bargmann functions)
[2009]
workshop on projective finite geometries, Bielefeld 2009 (presentation of the talk `galois fields in quantum mechanics)
[2009]
`11th international conference on squeezed states and uncertainty relations', Olomouc, Czech, 2009, presentation of the talk: `quantum systems with finite Hilbert space'
[2009]
Workshop on `quantum and combinatorics', Poland, Nov 2009
(presentation of the talk: symplectic transformations and quantum tomography in finite quantum systems)
[2009]
'Conference on timefrequency' Strobl, Austria, 2009, presentation of the talk 'Harmonic analysis on padic numbers'
[2009]
40th symposium on mathematical physics: geometry and quanta, Torun, Poland,
June 2008, presentation of the talk: 'Galois fields in quantum mechanics'
[2008]
27th international colloquium on group theoretical methods in physics, Yerevan, Armenia, Aug 2008 (presentation of the talk: quantum mechanics on padic numbers)
[2008]
`32nd international conference on coherence and correlations in nanosystems' Sept 2008, Ustron, Poland (presentation of the talk: electron and vortex intereference in the presence of nonclassical electromagnetic fields)
[2008]
International conference on combinatorial physics, Cracow, 2007 (presentation of the talk `Galois fields in quantum mechanics')
[2007]
Ninth international school on symmetry and structural properties of condensed matter, Poland, Sept 2007 (presentation of the talk `Galois quantum systems')
[2007]
Expository quantum lecture series, Malaysia 2007, (4 lectures on `Galois quantum systems')
[2007]
26th International colloquium on group theoretical methods in Physics, New York 2006, (presentation of the talk: displacements in a continuum of coupled oscillators')
[2006]
Third Feynman festival, Maryland 2006 (presentation of the talk: Fourier multiport devices)
[2006]
International workshop on `nanosensors and arrays of quantum dots and Josephson junctions for space applications', Sweden, 2006 (presentation of the talk: Vortices in Josephson array insulators and their interaction with nonclassical microwaves')
[2006]
International conference on `new trends in quantum mechanics; fundamental aspects and applications' , Palermo, Italy 2005, (presentation of the talk: entanglement propagation in a chain of coupled oscillators')
[2005]
9th International Conference on squeezed states and uncertainty relations, France 2005, (presentation of the talk: Phase space for modes in multimode systems and its applications to entanglement)
[2005]
12th Centarl European Workshop on quantum optics, Ankara 2005 (presentation of the talk: mode displacements in multimode systems and applications to entanglement)
[2005]
Fourth International conference on `Vortex matter in nanostructured superconductors' Greece, 2005 (presentation of the talk: Vortices in Josephson array insulators and their interaction with nonclassical microwaves)
[2005]
International conference on microscopic approaches to manybody theory, Manchester, 2005 (presentation of the talk: entanglement propagation in a chain of coupled oscillators)
[2005]
Feynman Festival, Maryland 2004 (presentation of the talk: Cyclic codes with finite quantum systems)
[2004]
International workshop on arrays of quantum dots and josephson junctions, Croatia, 2004, (presentation of the talk: Interaction of Josephson junctions with nonclassical microwaves)
[2004]
8th International conference on Squeezed states and uncertainty relations, Mexico, 2003 (presentation of the talk: Entangled finite quantum systems and applications to quantum coding)
[2003]
Membership of Research Council Peer Review College
EPSRC.
Also referee for research councils in France, Canada, Singapore
[2010]
Not Specified
Other
visiting fellow at St John's college, Oxford, summer 2004
Visiting Professor to The University of Paris 13 (2011)
[2011]
External PhD Examiner: Nottingham(2008), Loughborough(2008), Brunel(2008), Sussex(2008), Loughborough(2009), Bristol (2009), Loughborough(2009), Leeds (2011)
[2008]
member of the EPSRC network `semantics of quantum computation' (Aug 2006Aug 2009)
[2006]
Coordinator of an EPSRC network (with an EPSRC grant of 62000)
[2005]
RESEARCH STUDENTS +
Mona Abobakr
Tomi Akinola
RECENTLY COMPLETED (After 2002)
Dr Konstadopoulou
Dr Chong
Dr Tsomokos
Dr Zhang
Dr Ahmad Zukarnain
Dr Lei
Dr Dedes
Dr Lena Wang
Dr H Al Hadhrami
Dr M Jabuni
Dr S Mugassabi
Dr B Idrus
Dr A Mohamed
Dr M Shalaby
Dr P Evangelides
Dr S Oladejo
Dr S Agyo
Dr H Eissa
PUBLICATIONS
Journal Publications +
 Vourdas A (2019): "Probabilistic inequalities and measurements in bipartite systems" J.Phys. A, 52 085301.
 Lei C and Vourdas A (2018): "Selective correlations in finite quantum systems and the Desargues property" Journal of Geometry and Physics, 128 118127.
 Vourdas A (2018): "Exterior calculus and fermionic quantum computation" J.Phys.A, 51 445301.
 Vourdas A (2018): "Independence and totalness of subspaces in phase space methods" Annals of Physics, 391 83111.
 Agyo S, Lei C and Vourdas A (2017): "The groupoid of bifractional transformations" J. Math. Phys., 58 052103 (116).
 Vourdas A (2017): "Renormalization of total set of states into generalized bases with a resolution of the identity" J. Phys. A, 50 325207 (124).

Vourdas A (2017): "Dressed coherent states in finite quantum systems: a cooperative game theory approach" Annals of Physics, 376 153181.
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Olupitan T, Lei C and Vourdas A (2016): "An analytic function approach to weak mutually unbiased bases" Ann. Phys.
, 371 119.
Download PDF  Eissa H, Evangelides P, Lei C and Vourdas A (2016): "Paths of zeros of analytic functions describing finite quantum systems" Phys. Lett. A, 380 548553.

Vourdas A (2016): "Comonotoniciy and Choquet integrals of Hermitian operators and their applications" J. Phys. A, 49 145002.
Download PDF  Vourdas A (2016): "Coherent spaces, Boolean rings and quantum gates" Annals of Physics, 373 557580.
 Vourdas A (2016): "Mobius operators and nonadditive quantum probabilities in the Birkhoffvon Neumann lattice" J. Geom. Phys., Elsevier, 101 3851.
 Evangelides P, Lei C and Vourdas A (2015): "Analytic representations with theta functions for systems on Z(d) and on S" J. Math. Phys., 56 072108.
 Agyo S, Lei C and Vourdas A (2015): "Interpolation between phase space quantities with bifractional displacement operators" Physics Letters A, 379 255260.
 Oladejo S, Lei C and Vourdas A (2014): "Partial ordering of weak mutually unbiased bases" J. Phys. A, 47 485204.
 Vourdas A (2014): "Lower and upper probabilities in the distributive lattice of subsystems" J. Phys. A, 47 345203.

Vourdas A (2014): "Quantum probabilities as DempsterShafer probabilities in the lattice of subspaces" J. Math. Phys. , 55 082107.
Download PDF  Shalaby M and Vourdas A (2013): "Mutually unbiased projectors and duality between lines and bases in finite quantum systems" Annals Phys., 337 208220.
 Vourdas A (2013): "The complete Heyting algebra of subsystems and contextuality" J. Math. Phys., 54 082105.
 Vourdas A (2013): "Quantum Mechanics on profinite groups and partial order" J. Physics A46, 043001, 46 149.
 Vourdas A (2012): "Partial order and a T0 topology in a set of finite quantum systems" J. Math. Phys., 53 122101.
 de Guise H, Vourdas A and SanchezSoto L (2012): "Complementarity and phases in SU(3)" J. Phys. A, 45 244030.
 Vourdas A (2012): "Harmonic analysis on rational numbers" J. Math. Anal. Appl., 394 4860.
 Vourdas A, Penson KA, Duchamp GHE and Solomon AI (2012): "Generalized Bargmann functions, their growth and von Neumann lattices" J. Phys. A, 45 244031.
 Shalaby M and Vourdas A (2012): "Weak mutually unbiased bases" J. Phys. A, 45 052001.
 Earnshaw RA, Lei C, Li J, Mugassabi S and Vourdas A (2012): "Large scale data analysis using the Wigner function" Physica A, 391 24012407.
 Mohamed A, Lei C and Vourdas A (2011): "Weak coherent states related to the multiplicative group C^*" J. Phys. A, 44 215304.
 Shalaby M and Vourdas A (2011): "Tomagraphically complete sets of orthonormal bases in finite systems" J. Phys. A, 44 345303 .

Vourdas A (2011): "Quantum mechanics on Q/Z" J. Math. Phys., 52 062103.
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Cotfas N, Gazeau JP and Vourdas A (2011): "Finitedimensional Hilbert space and frame quantization" J. Phys. , A44 175303.
Download PDF  Tubani M, Vourdas A and Zhang S (2010): "Zeros in analytic representations of finite quantum systems on a torus" Physica Scripta, 82 038107.
 Mugassabi S and Vourdas A (2010): "Localized wavefunctions in quantum systems with multiwell potentials" J. Phys. A, 43 325304.
 Idrus B., Konstadopoulou A., Spiller T. and Vourdas A. A.(2010): "Correlations in a chain of three oscillators with nearest neighbour coupling" J. Modern Optics, 57 576581.

Vourdas A and Banderier C (2010): "Symplectic transformations and quantum tomography in finite quantum systems" J. Phys. A, 43 042001.
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Vourdas A (2010): "Hamiltonians of quantum systems with positions and momenta in GF(p^n)" J. Math. Phys., 51 052102.
Download PDF  Vourdas A (2010): "Harmonic analysis on GF(p^p^infty): Part II" J. Math. Anal. Appl., 370 7181.
 Vourdas A (2010): "Harmonic analysis on GF(p^p^infty): Part I" J. Math. Anal. Appl., 370 5770.

Vourdas A (2010): "Wigner and Weyl functions for padic quantum mechanics" Physics of atomic nuclei, 73 237241.
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Vourdas A (2010): "Totally disconnected and locally compact HeisenbergWeyl groups" J. Fourier Anal. Appl., 16 748767.
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Al Hadhrami H and Vourdas A (2009): "Fourth order interference and the extended phase space formalism for finite quantum systems" Phys. Rev. A, 40 022110 .
Download PDF  Mugassabi S and Vourdas A (2009): "Almost periodic onedimensional systems" J. Phys. A, 42 202001 .
 Vourdas A (2009): "Quantum systems with positions and momenta on a Galois field" J. Phys. Conf. Series, 104 012014.
 Vourdas A and Zhang S (2009): "Quantum number theoretic transforms on multipartite finite systems" J. Opt. Soc. Am. A, 26 13601365.
 Wang L, Al Hadhrami H and Vourdas A (2008): "Symplectic transformations and entanglement in multipartite finite systems" Eur. Phys. J. D, 49 265272.
 Vourdas A (2008): "Quantum mechanics on padic numbers" J. Phys. A, 41 455303.

Vourdas A (2008): "Harmonic analysis on a Galois field and its subfields" J. Fourier Anal. Appl., 14 102123.
Download PDF  Vourdas A (2007): "Quantum systems with finite Hilbert space: Galois fields in quantum mechanics" J. Phys. , A40 R285R331.
 Lei C and Vourdas A (2007): "Fourier transform in multimode systems in the Bargmann representation" J. Phys. A, 40 61936209.
 Bishop RF and Vourdas A (2007): "Thermal coherent states, a broader class of mixed coherent states and generalized thermofield dynamics" Int J Mod Phys B, 21 25292545.
 Dodonov VV, Man'ko MA, Man'ko VI and Vourdas A (2007): "Squeezed states and uncertainty relations since 1991" Journal Russian Laser Research, 28 404428.
 Zhang S, Lei C, Vourdas A and Dunningham JA (2006): "Applications and implementation of Fourier multiport devices" J. Phys. B:At. Mol. Opt. Phys., 39 16251637.
 Dunningham J.A. and Vourdas A. (2006): "Efficient comparison of pathlengths using Fourier multiport devices" J. Phys. B:At. Mol. Opt. Phys., 39 15791586.
 Vourdas A (2006): "Galois quantum systems, irreducible polynomials and Riemann surfaces" J. Math. Phys., 47 092104.
 Vourdas A (2006): "Analytic representations in quantum mechanics" J. Phys. A, 39 R65R141.
 Vourdas A (2006): "The frobenius formalism in Galois quantum systems" Acta Applicandae Mathematicae, 93 197214.
 AhmadZukarnain Z, Konstadopoulou A and Vourdas A (2006): "Measurements and correlations in tripartite systems" Int. J. Mod. Phys. B, 20 15511563.
 Dajka J, Vourdas A, Zhang S and Zipper E (2006): "The influence of entangled photons on distant persistent currents" J. Phys. Cond. Matter, 18 13671379.
 Lei C, Vourdas A and Wunsche A (2005): "Analytic and contour representations in the unit disk based on SU(1,1) coherent states" J. Math. Phys., 46 112101.
 Vourdas A (2005): "Propagation of a quantum state in a continuum of coupled oscillators and applications to entanglement" J. Phys. A, 38 98599875.
 Vourdas A (2005): "Galois quantum systems" J.Phys.A, 38 8453.
 Vourdas A (2005): "Mode displacements in multimode systems and applications to entanglement" Physical Review A, 71 043821.
 Vourdas A and Dunningham JA (2005): "Fourier multiport devices" Physical Review, A71 013809.
 Dajka J, Szopa M, Vourdas A and Zipper E E(2005): "The influence of nonclassical electromagnetic fields on persistent currents" Phys. Stat. Sol. B, 242 296.
 Tsomokos D, Chong CC and Vourdas A (2005): "Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields" J. Optics B: Quantum Semiclas. Optics, 7 R73.
 Vourdas A (2004): "Local correlations and uncertainties in onemode systems" Physical Review , A69 022108.
 Vourdas A (2004): "Quantum systems with finite Hilbert space" Reports Progress Phys., 67 267.
 Zhang S and Vourdas A (2004): "Analytic representation of finite quantum systems" J. Phys A, 37 83498363.
 Tsomokos D, Chong CC and Vourdas A (2004): "Entanglement of distant electron interference experiments" Physical Review, A69 013810.
 Vourdas A (2004): "Symplectically entangled states and their applications to coding" Journal of Physics , A37 3305.
 Tsomokos D, Chong CC and Vourdas A (2004): "Entangled quantum currents in distant mesoscopic Josephson junctions" J. Phys.: Cond. Matter, 16 91699180.
 Stergioulas A and Vourdas A (2004): "The Bargmann analytic representation in signal analysis" J. Comp. Appl. Math., 167 183192.
 Everitt MJ, Clark TD, Stiffel P, Vourdas A and et al (2004): "Superconducting analogues of quantum optical phenomena: macroscopic quantum superpositions and squeezing in a superconducting quantum interference device ring " Phys. Rev. A, 69 043804.
 Dajka J, Szopa M, Vourdas A and Zipper E (2004): "Persistent currents in the presence of nonclassical electromagnetic fields" Physical Review, B69 045305.
 VOURDAS A (2003): "Factorization in finite quantum systems" Journal of Physics A, 36 56455653.
 KONSTADOPOULOU A, HOLLINGWORTH MJ, EVERITT M, VOURDAS A and et al A (2003): "Vortices in Josephson arrays interacting with nonclassical microwaves: The effect of dissipation" European Phys. Journal B, 32 279285.
 ZHANG S and VOURDAS A (2003): "Phase space methods for particles on a circle" J. Math. Phys., 44 50845094.
 MIGLIORE R, KONSTADOPOULOU A, VOURDAS A, SPILLER T and MESSINA T (2003): "Entangling gates using Josephson circuits coupled through nonclassical microwaves" Physics Letters A, 319 6772.
 VOURDAS A (2003): "The completeness of sequences of coherent states" Journal of Optics B: Quantum and Semiclassical Optics, 5 S413S415.
 VOURDAS A (2003): "Entangling transformations in composite finite quantum systems" Journal Optics B: Quantum & Semiclassical Optics, 5 S581S585.
 CHONG C.C, TSOMOKOS D. and VOURDAS A (2002): "Correlations in interfering electrons irradiated by nonclassical microwaves" Physical Review A, 69 033813.
 VOURDAS A (2002): "Coding with finite quantum systems" Physical Review, A65 042321.
 KOBE S., PODMILJSAK B., McGUINESS P.J., VOURDAS A and et al (2002): "A nondestructive determination of rareearth ion concentration in laser crystals" Crystal Engineering, 5 307315.
 VOURDAS A, SPILLER T.P, CLARK T.D and POULTON D D(2001): "Tunneling of vortices through a weak link in an insulating Josephson array" Physical Review, B63 104501.
 VOURDAS A, CEFALAS A.C and SARANTOPOULOU E (2001): "Vortex interference in Josephson arrays in the insulating phase" Synthetic Metals, 124 265266.
 VOURDAS A (2001): "Destruction of the interference by external nonclassical microwaves: The effect of quantum and classical noise on the phase factor" Physical Review, A64 053814.
 CHONG C.C and VOURDAS A (2001): "Quantum correlations and the extended phase space" Journal of Physics, A34 98499860.
 STERGIOULAS L.K, VASSILIADIS V.S and VOURDAS A (2001): "Optimal bases of Gaussians in a Hilbert space: Applications in Mathematical Signal Analysis" Journal.Comp.Appl. Math., 133 601609.
 SARANTOPOULOU E, SKORDOULIS C, CEFALAS A.C and VOURDAS A (2001): "Modulation of period of quantum beats from optical emissions from the excited electronic states of mercury triatomic clusters" Synthetic Metals, 124 267269.
 CHONG C.C, VOURDAS A and BENDJABALLAH C (2001): "Fractional Fourier transforms for quasiperiodic Bloch functions" J. Opt. Soc. Am., A18 24782485.
 HOLLINGWORTH J.M, VOURDAS A and BACKHOUSE N (2001): "Wave propagation in onedimensional optical quasiperiodic systems" Physical Review, E64 036611.
 EVERITT M.J, CLARK T.D, VOURDAS A and et al (2001): "Quantum stastics and entanglement of two electromagnetic field modes coupled via a mesoscopic SQUID ring" Physical Review, B64 184517.
 VOURDAS A (2001): "Quantum Systems with Finite Hilbert space and Chebyshev Polynomials" J. Comp. Appl. Math., 133 657664.
 EVERITT M.J, STIFFEL P, CLARK T.D, VOURDAS A and RALPH A (2001): "A fully quantum mechanical model of a SQUID ring coupled to an electromagnetic field" Physical Review, B63 144530.
 HOLLINGWORTH J.M, KONSTADOPOULOU A, CHOUNTASIS S, VOURDAS A and BACKHOUSE A (2001): "GazeauKlauder coherent states in onemode systems with periodic potentials" Journal of Physics, A34 94639474.
 KONSTADOPOULOU A, HOLLINGWORTH J.M, EVERITT M, VOURDAS A and CLARK TD (2001): "Mesoscopic Josephson Arrays interacting with nonclassical electromagnetic fields and their applications" IEE Proc. Science, Measurement & Technology, 148 229232.
 GIAKAS G, STERGIOULAS L and VOURDAS A (2000): "Timefrequency analysis and filtering of kinematic signals with impacts using the Wigner function: accurate estimation of the second derivative" Journal Biomech., 33 567574.
 JONES G.R, RUSSELL P.C, VOURDAS A, COSGRAVE J and STERGIOULAS L (2000): "The Gabor transform basis of Chromatic monitoring" Meas. Science Tech., 11 489498.
 STERGIOULAS L, VOURDAS A and JONES G.R (2000): "Gabor representation of optical signals using a truncated von Neumann lattice and its practical implementation" Optical Engineering, 39 19651971.
 KONG M.G, ZHONG X and VOURDAS A (2000): "Free electron laser spectrum control with a quasiperodic wiggler configuration" Nuclear Instrum. Meth., A44 712.
 STERGIOULAS L.K, VASSILIADIS V.S and VOURDAS A (1999): "Construction of quantum states from an optimally truncated von Neumann lattice of coherent states" Journal of Physics, A32 31693178.
 TUNSTALL J.J, TAYLOR S, VOURDAS A, LECK J.H and BATEY J.H (1999): "Application of a static magnetic field to the mass filter of a quadrupole mass spectrometer" Vacuum, 53 211213.
 CHOUNTASIS S, VOURDAS A and BENDJABALLAH C (1999): "Fractional fourier operators and generalized Wigner functions" Physical Review, A60 34673473.
 VOURDAS A (1999): "Bloch steps in vortex interference in the presence of classical and nonclassical electromagnetic fields" Physical Review, B60 620626.
 KONG M.G and VOURDAS A (1999): "Control of harmonic generation in a freeelectron laser with a quasiperodic wiggler configuration" Physical Review, E59 23392346.
 VOURDAS A (1999): "A unified approach to AharonovBohm, AharonovCasher and whichpath experiments" Journal of Physics, A32 55175528.
 VOURDAS A (1999): "Dual Josephson phenomena with vortices" Europhysics. Letters., 48 201207.
 CHOUNTASIS S and VOURDAS (1999): "The extended phase space: a formalism for the study of quantum noise and quantum correlations" Journal of Physics, A32 69496961.
 CHOUNTASIS S, STERGIOULAS L.K and VOURDAS A (1999): "Quantum filtering of noise in the Wigner function" Journal Mod. Optics, 46 21312134.
 BENDJABALLAH C, LEROY J.M and VOURDAS A (1998): "Debit de distorsion et detection en communication quantique" C.R. Acad Sci.Paris IIB, 326 667670.
 CHOUNTASIS S and VOURDAS A (1998): "Weyl functions and their use in the study of quantum interference" Physical Review, A58 848855.
 CHOUNTASIS S and VOURDAS A (1998): "Weyl and Wigner functions in an extended phase space formalism" Physical Review, A58 17941798.
 RUSSELL P.C, COSGRAVE J, TOMTSIS D, VOURDAS A and STERGIOULAS L (1998): "Extraction of information from acoustic vibration signals using gabor transform type devices" Meas. Sci. Technol, 9 12821290.
 VOURDAS A and WNSCHE A (1998): "Resolutions of the identity in terns of line integrals of SU(1,1) coherent states" Journal of Physics, A31 93419352.
 VOURDAS A and BISHOP R.F (1998): "Quantum systems at negative temperatures: a holomorphic approach based on coherent states" Journal of Physics, A31 85638575.
 VOURDAS A and SANDERS B (1998): "Determination of quantized electromagnetic field state via electron interferometry" Europhysics Letters, 43 659663.
 BENDJABALLAH C, LEROY J.M and VOURDAS A (1998): "Rate distortion and detection in Quantum Communication" IEEE Trans. Info. Theo., IT4 16581665.
 KONG M.G and VOURDAS A (1997): "Radiation from quasiperiodically modulated electron beam" Europhysics Letters, 38 2529.
 VOURDAS A and SPILLER T.P (1997): "Quantum theory of the interaction of Josephson junctions with nonclassical microwaves" Z.Physik B, 102 4354.
 VOURDAS A (1997): "Coherent evolution in a multiply connected space in the presence of fractional magnetic flux: the back reaction effect" Journal of Physics, A30 51955206.
 VOURDAS A (1997): "Correlations in AC AharonovBohm phenomena" Physical Review, A56 24082411.
 VOURDAS A (1997): "The growth of Bargmann functions and the completeness of sequences of coherent states" Journal of Physics, A30 48674876.
 STERGIOULAS L and VOURDAS A (1997): "Robust quantum state engineering using coherent states on a truncated von Neumann lattice" Journal Mod Optics, 45 11551161.
 BLUNDELL R.E, FANG M.T. and VOURDAS A (1997): "Stability of a dc SF6 arc in an axially accelerating flow" IEEE Trans. Plasma Science., 25 852859.
 VOURDAS A, BRIF C and MANN A (1996): "Factorisation of analytic representions in the unit disc and numberphase statistics of a quantum harmonic oscillator" Journal of Physics, A29 58875898.
 ODINTSOV A and VOURDAS A (1996): "Single Cooper pair tunneling induced by nonclassical microwaves" Europhysics Letters, 34 385389.
 VOURDAS A (1996): "Quantum Amplifiers at microwave frequencies using Josephson junctions" Journal Mod. Optics, 43 21052117.
 VOURDAS A and BISHOP R.F (1996): "Dirac's contour represention in thermofielddynamics" Physical Review, A53 12051208.
 BRIF C, MANN A and VOURDAS A (1996): "Paritydependent squeezing of light" Journal of Physics, A29 20532067.
 VOURDAS A (1996): "The angleangular momentum quantum phaes space" Journal of Physics, A29 42754288.
 VOURDAS A (1996): "Fractional Shapiro steps in electron interference in the presence of nonclassical microwaves" Physics Review, B54 131751318.
 BRIF C, VOURDAS A and MANN A (1996): "Analytic representations based on SU(1,1) coherent states and their applications" Journal of Physics, A29 58735885.
 VOURDAS A (1996): "Resolutions of the identity in terms of SU(2) coherent states and their use for quantum state engineering" Physical Review, A54 45444552.
 VOURDAS A (1996): "Quantum currents in mesoscopic Josephson Junctions in the presence of nonclassical microwaves" Z. Physik B, 100 455460.
 VOURDAS A (1995): "Electron interference in the presence of AC nonclassical electromagnetic fields" Europhysics Letters, 32 289294.
 VOURDAS A and BISHOP R.F (1995): "Displaced negative binomial mixed ststes: generalised thermofield dynamics" Physical Review, A51 23532360.
 VOURDAS A (1995): "SU(2) coherent states on an msheeted covering of the sphere" Journal of Math. Physics, 36 47574773.
 BISHOP R.F and VOURDAS A (1994): "The displaced and Squeezed parity Operator:Its role in classical mappings of quantum Theories" Physical Review, A50 44884501.
 VOURDAS A and BISHOP R.F (1994): "Thermal coherent states in the Bargmann representation" Physical Review, A50 33313339.
 VOURDAS A and DA ROCHA J.R. (1994): "Pulse position modulation and extended pulse position modulation with squeezed light" Journal .Mod. Optics, 41 22912299.
 VOURDAS A (1994): "Coherent states on the msheeted complex plane" Journal of Math. Physics, 35 26872697.
 VOURDAS A (1994): "Mesoscopic Josephson junction in the presence of nonclassical electromagnetic fields" Physical Review, B49 120401204.
 COSGRAGE J.A, VOURDAS A, JONES G.R, SPENCER J.W and MURPHY J.W (1993): "Acoustic monitoring of partial discharges in gas insulated substations using optical sensors" IEE ProcA, 140 369374.
 VOURDAS A (1993): "Phase states: an analytic approach in the unit disc" Physica Scripta, T48 8486.
 VOURDAS A (1993): "Coherent states on the msheeted covering group of SU(1,1)" Journal of Math. Physics, 34 12231235.
 VOURDAS A and BENDJABALLAH C (1993): "Duality, measurements and factorisation in finite quantum systems" Physical Review, A47 35233529.
 LUI Z, VOURDAS A and BINNS K.J (1993): "Coupled thermoelectromagnetic analysis for electromagnetic devices with permanent magnets" Journal of Physics, D26 810818.
 SMITH R, AHMED S, VOURDAS A, SPENCER J and RUSSELL P (1992): "Chromatic modulation for optical sensing: Electro magnetic and speckle noise analysis" J. Mod.Opt, 39 23012314.
 VOURDAS A (1992): "Superpositions of macroscopiaclly distinguishable states in the presence of thermal noise" Optical communications, 91 236240.
 VOURDAS A (1992): "Generalised squeezing, Bogoliubov quasiparticles and information in two and three mode systems" Physical Review, A46 442451.
 LIU Z, VOURDAS A and BINNS K.J (1991): "Magnetic field and eddy current losses" IEE ProcA, 138 289294.
 VOURDAS A (1991): "Information in quantum Optical Communication" Lecture notes in Physics (springerVerlag), 378 120123.
 VOURDAS A (1991): "Analytic representations in the unit disc and applications to phase ststes and squeezing" Physical Review, A45 19431950.
 VOURDAS A (1991): "Transformations in the angleangular momentum phase space" Physical Review, A43 15641572.
 VOURDAS A (1990): "Information in quantum optical binary communications" IEEE Trans. Info. Theo., IT3 208211.
 VOURDAS A (1990): "Binary optical communications with quantum signals propagating in nonlinear media" J.Mod. opt, 37 16611672.
 VOURDAS A (1990): "Gaussian bases for radar signal analysis" Signal Processing , 20 163169.
 VOURDAS A (1990): "Information theory approach to quantum nondemolition measurements" Optical Communications, 76 164167.
 VOURDAS A (1990): "SU(2) and SU(1) phase states" Physical Review, A41 16531661.
 VOURDAS A and BINNS K.J (1989): "Magnetostatics with scalar potentials in multiply connected regions" IEE Proc, A13 231232.
 VOURDAS A (1989): "Optical signals with thermal noise" Physical review, A39 206213.
 FOWLER G.N, NAVARRA F.S, PLUMER M, VOURDAS A and WEINER R (1989): "Interacting gluon model in hadronnucleus and nucleusnucleus collisions in the central rapidity region" Physics Review, C40 12191233.
 VOURDAS A and BISHOP R.F (1989): "Phase admixed states: coherence and incoherence" Physical Review, A39 214220.
 VOURDAS A and WEINER R (1988): "Multiplicity distributions and BoseEinstein correlations in high energy multiparticle production in the presence of squeezed coherent states" Physical Review, D38 22092217.
 FOWLER G.N, NAVARRA F.S, VOURDAS A, WEINER R and WILK G (1988): "Initial energy density distribution in high energy heavy reactions" Physics Letter, B21 657659.
 BISHOP R.F and VOURDAS A (1988): "General twomode squeezed state" Z. Physik, B71 527529.
 VOURDAS A (1988): "Superposition of number eigenstates with thermal light" Physical Review, A37 38903895.
 VOURDAS A and WEINER R.M (1987): "Photon Counting distribution in squeezed states" Physical Review, A36 58665869.
 BISHOP R.F and VOURDAS A (1987): "A new coherent paired state with possible applications to fluctuationdissipation phenomena" Journal of Physics, A20 37273741.
 FOWLER G.N, VOURDAS A, WEINER R.M and WILK G G(1987): "Inelasticity and leading particle effect: Momentum and mass distribution of the central fireball in highenergy hadronic reactions" Physical Review, D35 870874.
 VOURDAS A (1987): "Loop gauge theory and group cohomology" Journal of Math. Physics, 28 584591.
 BISHOP R.F and VOURDAS A (1987): "Coherent mixed states and a generalized Prepresentation" Journal of Physics, A20 37433769.
 VOURDAS A (1986): "Superposition of squeezed coherent states with thermal light" Physical Review, A34 34663469.
 BISHOP R.F and VOURDAS A (1986): "Generalized coherent states and Bogoliubov transformations" Journal of Physics, A19 25252536.
 VOURDAS A and BISHOP R.F (1985): "Quantum tunneling in the deformed region of the LMG model" Journal of Physics, G11 95101.
 VOURDAS A (1982): "Orbital Classical solutions, nonperturbative phenomena and singularity at the zero coupling constant point" Nuclear Physics B, 195 173188.
 DONNACHIE A and VOURDAS A (1981): "Central photoproduction of J/Ψ and Y as a test of QCD" Z.Physik, C7 257262.
 VOURDAS A (1980): "spindependent photon structure functions" Journal of Physics, G6 789802.