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Polychronakos, Alexios P.

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Author ID: polychronakos.alexios-p Recent zbMATH articles by "Polychronakos, Alexios P."
Published as: Polychronakos, A. P.; Polychronakos, Alexios; Polychronakos, Alexios P.
Documents Indexed: 52 Publications since 1990

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 566 times in 449 Documents Cited by Year
Quantum mechanics on the noncommutative plane and sphere. Zbl 0977.81046
Nair, V. P.; Polychronakos, A. P.
84
2001
Exchange operator formalism for integrable systems of particles. Zbl 0968.37521
Polychronakos, Alexios P.
65
1992
A classical realization of quantum algebras. Zbl 1020.17508
Polychronakos, Alexios P.
44
1990
The physics and mathematics of Calogero particles. Zbl 1109.81086
Polychronakos, Alexios P.
38
2006
Perfect fluid theory and its extensions. Zbl 1072.76004
Jackiw, R.; Nair, V. P.; Pi, S.-Y.; Polychronakos, A. P.
36
2004
Quantum mechanics on the noncommutative torus. Zbl 0971.81050
Morariu, B.; Polychronakos, A. P.
30
2001
Spectrum of Schrödinger field in a noncommutative magnetic monopole. Zbl 0992.81023
Karabali, D.; Nair, V. P.; Polychronakos, A. P.
26
2002
Testing non-commutative QED, constructing non-commutative MHD. Zbl 0971.81188
Guralnik, Z.; Jackiw, R.; Pi, S. Y.; Polychronakos, A. P.
22
2001
High spin limits and non-Abelian T-duality. Zbl 1207.81133
Polychronakos, Alexios P.; Sfetsos, Konstadinos
18
2011
Fluid dynamical profile and constants of motion from \(d\)-branes. Zbl 0965.76010
Jackiw, R.; Polychronakos, A. P.
18
1999
Flux tube solutions in noncommutative gauge theories. Zbl 0976.81125
Polychronakos, Alexios P.
14
2000
Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange. Zbl 0990.82505
Polychronakos, Alexios P.
13
1994
Generalized statistics in one dimension. Zbl 0990.81173
Polychronakos, A. P.
12
1999
Integrable systems from gauged matrix models. Zbl 1176.81063
Polychronakos, Alexios P.
12
1991
Quantum mechanics on noncommutative Riemann surfaces. Zbl 0995.81034
Morariu, Bogdan; Polychronakos, Alexios P.
10
2002
Waves and solitons in the continuum limit of the Calogero-Sutherland model. Zbl 1020.81967
Polychronakos, Alexios P.
10
1995
Classical solutions for two-dimensional QCD on the sphere. Zbl 0990.81770
Minahan, Joseph A.; Polychronakos, Alexios P.
10
1994
On area and entropy of a black hole. Zbl 1058.83515
Alekseev, A.; Polychronakos, A. P.; Smedbäck, M.
8
2003
Generalized Calogero models through reductions by discrete symmetries. Zbl 0958.81207
Polychronakos, Alexios P.
8
1999
Particle kinematics in Hořava-Lifshitz gravity. Zbl 1270.83019
Capasso, D.; Polychronakos, A. P.
7
2010
Abelian Chern-Simons theories in \(2+1\) dimensions. Zbl 0726.57012
Polychronakos, Alexios P.
7
1990
Solving field equations in non-isometric coset CFT backgrounds. Zbl 1206.81109
Polychronakos, Alexios P.; Sfetsos, Konstadinos
6
2010
Non-commutative Chern-Simons terms and the non-commutative vacuum. Zbl 0990.81546
Polychronakos, Alexios P.
6
2000
Brane compactifications and 4-dimensional geometry in the IKKT model. Zbl 1331.81247
Polychronakos, Alexios P.; Steinacker, Harold; Zahn, Jochen
5
2013
Kac–Moody theories for colored phase space (quantum Hall) droplets. Zbl 1109.81383
Polychronakos, Alexios P.
5
2005
Chiral actions from phase space (quantum Hall) droplets. Zbl 1119.81416
Polychronakos, Alexios P.
5
2005
Clebsch (string) decomposition in \(d=3\) field theory. Zbl 0972.81198
Deser, S.; Jackiw, R.; Polychronakos, A. P.
5
2001
Path integrals and parastatistics. Zbl 0925.81060
Polychronakos, Alexios P.
5
1996
Consistency conditions and representations of a \(q\)-deformed Virasoro algebra. Zbl 1332.81097
Polychronakos, Alexios P.
5
1991
The quantum angular Calogero-Moser model. Zbl 1342.81185
Feigin, Mikhail; Lechtenfeld, Olaf; Polychronakos, Alexios P.
4
2013
The Seiberg-Witten map and topology. Zbl 1124.81310
Polychronakos, Alexios P.
4
2002
Noncommuting gauge fields as a Lagrange fluid. Zbl 1124.81303
Jackiw, R.; Pi, S.-Y.; Polychronakos, A. P.
4
2002
Generalized Calogero-Sutherland systems from many-matrix models. Zbl 0944.81016
Polychronakos, Alexios P.
4
1999
Thermodynamics for fractional exclusion statistics. Zbl 1073.82540
Isakov, Serguei B.; Arovas, Daniel P.; Myrheim, Jan; Polychronakos, Alexios P.
4
1996
Composition of many spins, random walks and statistics. Zbl 1349.81214
Polychronakos, Alexios P.; Sfetsos, Konstantinos
3
2016
Dynamical Poincaré symmetry realized by field-dependent diffeomorphisms. Zbl 0982.70021
Jackiw, R.; Polychronakos, A. P.
3
1999
Feynman’s proof of the commutativity of the Calogero integrals of motion. Zbl 1411.81113
Polychronakos, Alexios P.
1
2019
Mapping the Calogero model on the anyon model. Zbl 1400.81220
Ouvry, Stéphane; Polychronakos, Alexios P.
1
2018
Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics. Zbl 1386.76045
Kulkarni, Manas; Polychronakos, Alexios
1
2017
Statistics of two-dimensional random walks, the cyclic sieving phenomenon and the Hofstadter model. Zbl 1329.82057
Mashkevich, Stefan; Ouvry, Stéphane; Polychronakos, Alexios
1
2015
Non-commutative fluids. Zbl 1137.81053
Polychronakos, Alexios P.
1
2007
Some aspects of two dimensional QCD. Zbl 0844.58109
Minahan, Joseph A.; Polychronakos, Alexios P.
1
1995
Feynman’s proof of the commutativity of the Calogero integrals of motion. Zbl 1411.81113
Polychronakos, Alexios P.
1
2019
Mapping the Calogero model on the anyon model. Zbl 1400.81220
Ouvry, Stéphane; Polychronakos, Alexios P.
1
2018
Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics. Zbl 1386.76045
Kulkarni, Manas; Polychronakos, Alexios
1
2017
Composition of many spins, random walks and statistics. Zbl 1349.81214
Polychronakos, Alexios P.; Sfetsos, Konstantinos
3
2016
Statistics of two-dimensional random walks, the cyclic sieving phenomenon and the Hofstadter model. Zbl 1329.82057
Mashkevich, Stefan; Ouvry, Stéphane; Polychronakos, Alexios
1
2015
Brane compactifications and 4-dimensional geometry in the IKKT model. Zbl 1331.81247
Polychronakos, Alexios P.; Steinacker, Harold; Zahn, Jochen
5
2013
The quantum angular Calogero-Moser model. Zbl 1342.81185
Feigin, Mikhail; Lechtenfeld, Olaf; Polychronakos, Alexios P.
4
2013
High spin limits and non-Abelian T-duality. Zbl 1207.81133
Polychronakos, Alexios P.; Sfetsos, Konstadinos
18
2011
Particle kinematics in Hořava-Lifshitz gravity. Zbl 1270.83019
Capasso, D.; Polychronakos, A. P.
7
2010
Solving field equations in non-isometric coset CFT backgrounds. Zbl 1206.81109
Polychronakos, Alexios P.; Sfetsos, Konstadinos
6
2010
Non-commutative fluids. Zbl 1137.81053
Polychronakos, Alexios P.
1
2007
The physics and mathematics of Calogero particles. Zbl 1109.81086
Polychronakos, Alexios P.
38
2006
Kac–Moody theories for colored phase space (quantum Hall) droplets. Zbl 1109.81383
Polychronakos, Alexios P.
5
2005
Chiral actions from phase space (quantum Hall) droplets. Zbl 1119.81416
Polychronakos, Alexios P.
5
2005
Perfect fluid theory and its extensions. Zbl 1072.76004
Jackiw, R.; Nair, V. P.; Pi, S.-Y.; Polychronakos, A. P.
36
2004
On area and entropy of a black hole. Zbl 1058.83515
Alekseev, A.; Polychronakos, A. P.; Smedbäck, M.
8
2003
Spectrum of Schrödinger field in a noncommutative magnetic monopole. Zbl 0992.81023
Karabali, D.; Nair, V. P.; Polychronakos, A. P.
26
2002
Quantum mechanics on noncommutative Riemann surfaces. Zbl 0995.81034
Morariu, Bogdan; Polychronakos, Alexios P.
10
2002
The Seiberg-Witten map and topology. Zbl 1124.81310
Polychronakos, Alexios P.
4
2002
Noncommuting gauge fields as a Lagrange fluid. Zbl 1124.81303
Jackiw, R.; Pi, S.-Y.; Polychronakos, A. P.
4
2002
Quantum mechanics on the noncommutative plane and sphere. Zbl 0977.81046
Nair, V. P.; Polychronakos, A. P.
84
2001
Quantum mechanics on the noncommutative torus. Zbl 0971.81050
Morariu, B.; Polychronakos, A. P.
30
2001
Testing non-commutative QED, constructing non-commutative MHD. Zbl 0971.81188
Guralnik, Z.; Jackiw, R.; Pi, S. Y.; Polychronakos, A. P.
22
2001
Clebsch (string) decomposition in \(d=3\) field theory. Zbl 0972.81198
Deser, S.; Jackiw, R.; Polychronakos, A. P.
5
2001
Flux tube solutions in noncommutative gauge theories. Zbl 0976.81125
Polychronakos, Alexios P.
14
2000
Non-commutative Chern-Simons terms and the non-commutative vacuum. Zbl 0990.81546
Polychronakos, Alexios P.
6
2000
Fluid dynamical profile and constants of motion from \(d\)-branes. Zbl 0965.76010
Jackiw, R.; Polychronakos, A. P.
18
1999
Generalized statistics in one dimension. Zbl 0990.81173
Polychronakos, A. P.
12
1999
Generalized Calogero models through reductions by discrete symmetries. Zbl 0958.81207
Polychronakos, Alexios P.
8
1999
Generalized Calogero-Sutherland systems from many-matrix models. Zbl 0944.81016
Polychronakos, Alexios P.
4
1999
Dynamical Poincaré symmetry realized by field-dependent diffeomorphisms. Zbl 0982.70021
Jackiw, R.; Polychronakos, A. P.
3
1999
Path integrals and parastatistics. Zbl 0925.81060
Polychronakos, Alexios P.
5
1996
Thermodynamics for fractional exclusion statistics. Zbl 1073.82540
Isakov, Serguei B.; Arovas, Daniel P.; Myrheim, Jan; Polychronakos, Alexios P.
4
1996
Waves and solitons in the continuum limit of the Calogero-Sutherland model. Zbl 1020.81967
Polychronakos, Alexios P.
10
1995
Some aspects of two dimensional QCD. Zbl 0844.58109
Minahan, Joseph A.; Polychronakos, Alexios P.
1
1995
Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange. Zbl 0990.82505
Polychronakos, Alexios P.
13
1994
Classical solutions for two-dimensional QCD on the sphere. Zbl 0990.81770
Minahan, Joseph A.; Polychronakos, Alexios P.
10
1994
Exchange operator formalism for integrable systems of particles. Zbl 0968.37521
Polychronakos, Alexios P.
65
1992
Integrable systems from gauged matrix models. Zbl 1176.81063
Polychronakos, Alexios P.
12
1991
Consistency conditions and representations of a \(q\)-deformed Virasoro algebra. Zbl 1332.81097
Polychronakos, Alexios P.
5
1991
A classical realization of quantum algebras. Zbl 1020.17508
Polychronakos, Alexios P.
44
1990
Abelian Chern-Simons theories in \(2+1\) dimensions. Zbl 0726.57012
Polychronakos, Alexios P.
7
1990
all top 5

Cited by 655 Authors

13 Chung, Won-Sang
11 Lechtenfeld, Olaf
11 Polychronakos, Alexios P.
8 Jing, Jian
8 Meljanac, Stjepan
7 Fehér, László Gy.
7 Ghobber, Saifallah
7 Ivanov, Evgeniĭ Alekseevich
7 Ruan, Dong
7 Sfetsos, Konstadinos
6 Basu-Mallick, Bireswar
6 Daoud, Mohammed
6 Long, Zhengwen
5 Fedoruk, Sergey
5 Lozano, Yolanda
5 Nuñez, Carlos
5 Plyushchay, Mikhail S.
5 Quesne, Christiane
5 Thompson, Daniel C.
4 Algin, Abdullah
4 Dias, Nuno Costa
4 Gangopadhyay, Sunandan
4 Giri, Pulak Ranjan
4 Khanna, Faqir C.
4 Mendes, Albert C. R.
4 Neves, Clifford
4 Oliveira, Wilson
4 Prata, João Nuno
4 Pusztai, Béla Gábor
4 Ruan, Wei
4 Saha, Anirban
4 Samsarov, Andjelo
4 Sbitnev, Valery I.
4 Steinacker, Harold
4 Szabo, Richard J.
4 Van der Jeugt, Joris
4 Wang, Qing
3 Acatrinei, Ciprian Sorin
3 Chen, Jianfeng
3 Colgáin, Eoin Ó
3 Sobreira de Araujo Corrêa, Francisco Julio
3 Crampé, Nicolas
3 de Montigny, Marc
3 Fakhri, Hossein
3 Finkel, Federico
3 Gamboa, Jorge
3 Ghosh, Subir
3 González-López, Artemio
3 Gupta, Kumar Sankar
3 Horváthy, Peter A.
3 Itsios, Georgios
3 Jellal, Ahmed
3 Konstein, Semjon E.
3 Kulkarni, Manas
3 Lapointe, Luc
3 Li, Kang
3 Mukherjee, Pradip
3 Nishimura, Jun-ichi
3 Ouvry, Stéphane
3 Ramgoolam, Sanjaye
3 Rösler, Margit
3 Sahlmann, Hanno
3 Salesi, Giovanni
3 Steinacker, Harold C.
3 Stichel, Peter C.
3 Zotov, Andrei V.
2 Abreu, Everton M. C.
2 Aldaya, Victor
2 Amorim, Ricardo
2 Anagnostopoulos, Konstantinos N.
2 Andrianopoli, Laura
2 Arik, Metin
2 Axenides, Minos
2 Azuma, Takehiro
2 Banerjee, Pratyay
2 Banerjee, Rabin
2 Bardek, Velimir
2 Bastos, Catarina
2 Bogolyubov, Nikolaĭ Nikolaevich jun.
2 Bondyopadhaya, Nilanjan
2 Burić, Maja
2 Calixto, Manuel
2 D’Auria, Riccardo
2 Deng, Hui
2 Desrosiers, Patrick
2 Djun, T. P.
2 Dulat, Sayipjamal
2 Duval, Christian
2 Enciso, Alberto
2 Esposito, Salvatore
2 Fairlie, David B.
2 Floratos, Emmanuel G.
2 Forrester, Peter J.
2 Fosco, Cesar Daniel
2 Fraser, Benjo
2 Gangopadhyay, Debashis
2 Golubeva, Valentina Alekseevna
2 Grassi, Pietro Antonio
2 Grekov, A. M.
2 Grosse, Harald
...and 555 more Authors
all top 5

Cited in 61 Serials

66 Journal of High Energy Physics
54 Journal of Mathematical Physics
50 Nuclear Physics. B
35 International Journal of Modern Physics A
30 Modern Physics Letters A
25 International Journal of Theoretical Physics
14 The European Physical Journal C. Particles and Fields
13 Physics Letters. A
13 Physics Letters. B
12 Theoretical and Mathematical Physics
10 Communications in Mathematical Physics
8 International Journal of Geometric Methods in Modern Physics
8 Foundations of Physics
7 General Relativity and Gravitation
7 Annals of Physics
7 Physical Review Letters
7 Journal of Statistical Mechanics: Theory and Experiment
6 Journal of Physics A: Mathematical and Theoretical
5 International Journal of Modern Physics B
4 Letters in Mathematical Physics
4 Chaos, Solitons and Fractals
4 Journal of Geometry and Physics
4 International Journal of Modern Physics D
4 Advances in High Energy Physics
3 Annales Henri Poincaré
3 Physical Review D. Series III
2 Bulletin of the Australian Mathematical Society
2 Journal of Statistical Physics
2 Physics Reports
2 Reviews in Mathematical Physics
2 Fortschritte der Physik
2 Journal of Algebra
2 Journal of Mathematical Sciences (New York)
2 Journal of Nonlinear Mathematical Physics
2 International Journal of Quantum Information
2 Journal of Pseudo-Differential Operators and Applications
1 Applicable Analysis
1 Classical and Quantum Gravity
1 Nonlinearity
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Proceedings of the London Mathematical Society. Third Series
1 Advances in Applied Mathematics
1 Science in China. Series A
1 Nuclear Physics, B, Proceedings Supplements
1 Selecta Mathematica. New Series
1 Integral Transforms and Special Functions
1 Journal of Mathematical Chemistry
1 Mathematical Physics, Analysis and Geometry
1 Chaos
1 New Journal of Physics
1 International Journal of Modern Physics C
1 Journal of Modern Optics
1 Entropy
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Communications in Theoretical Physics
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Annalen der Physik
1 Quantum Studies: Mathematics and Foundations
all top 5

Cited in 41 Fields

365 Quantum theory (81-XX)
83 Relativity and gravitational theory (83-XX)
56 Nonassociative rings and algebras (17-XX)
51 Statistical mechanics, structure of matter (82-XX)
37 Mechanics of particles and systems (70-XX)
29 Dynamical systems and ergodic theory (37-XX)
24 Partial differential equations (35-XX)
22 Differential geometry (53-XX)
20 Global analysis, analysis on manifolds (58-XX)
19 Fluid mechanics (76-XX)
14 Special functions (33-XX)
12 Functional analysis (46-XX)
9 Associative rings and algebras (16-XX)
9 Group theory and generalizations (20-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Optics, electromagnetic theory (78-XX)
8 Algebraic geometry (14-XX)
8 Astronomy and astrophysics (85-XX)
7 Topological groups, Lie groups (22-XX)
6 Combinatorics (05-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
5 Ordinary differential equations (34-XX)
5 Probability theory and stochastic processes (60-XX)
4 Information and communication theory, circuits (94-XX)
3 Real functions (26-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral equations (45-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Numerical analysis (65-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)

Citations by Year