Shabanov, Sergei V.

• 2932880
  Prokhorov, Lev V.(RS-STPT-IP); Shabanov, Sergei V.(1-FL)
  Hamiltonian mechanics of gauge systems.
  Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2011. xviii+466 pp. ISBN: 978-0-521-89512-5
  81Txx (58Exx)
  
• 2761311
  Ndangali, Rémy F.(1-FL); Shabanov, Sergei V.(1-FL)
  Electromagnetic bound states in the radiation continuum for periodic double arrays of subwavelength dielectric cylinders. (English summary)
  J. Math. Phys. 51 (2010), no. 10, 102901, 29 pp.
  78A25 (81Uxx)
  
• 2455839
  Baxter, Nathan P.(1-FL); Shabanov, Sergei V.(1-FL)
  The flip-over effect in self-similar laser-induced plasma expansion. (English summary)
  J. Math. Phys. 49 (2008), no. 9, 093101, 8 pp.
  82D10
  
• 2223450
  Borisov, Andrei G.(F-PARIS11-AT); Shabanov, Sergei V.(1-FL)
  Wave packet propagation by the Faber polynomial approximation in electrodynamics of passive media. (English. English summary)
  J. Comput. Phys. 216 (2006), no. 1, 391--402.
  78A40 (65Mxx)
• 2151998
  Borisov, Andrei G.(F-PARIS11-AT); Shabanov, Sergei V.(1-FL)
  Lanczos pseudospectral method for initial-value problems in electrodynamics and its applications to ionic crystal gratings. (English. English summary)
  J. Comput. Phys. 209 (2005), no. 2, 643--664.
  78A45 (65M70)
• 1915646 (2003m:81146)
  Shabanov, Sergei V.(1-FL-FT)
  On a low energy bound in a class of chiral field theories with solitons. (English. English summary)
  J. Math. Phys. 43 (2002), no. 8, 4127--4134.
  81T13
• 1874464 (2002i:81181)
  Shabanov, Sergei V.(RS-JINR-TP)
  Infrared Yang-Mills theory as a spin system. A lattice approach. (English. English summary)
  Phys. Lett. B 522 (2001), no. 1-2, 201--209.
  81T25 (81T13 81T17 81T80)
• 1745982 (2001i:81170)
  Shabanov, Sergei V.(RS-JINR-TP)
  Geometry of the physical phase space in quantum gauge systems. (English. English summary)
  Phys. Rep. 326 (2000), no. 1-3, 163 pp.
  81T13 (58D30 81S40 81T20 81T25)
• 1723670
  Klauder, John R.(1-FL-P); Shabanov, Sergei V.(RS-JINR-TP)
  An introduction to coordinate free quantization and its application to constrained systems. (English. English summary)
  Mathematical methods of quantum physics (Jagna, 1998), 117--130,
  Gordon and Breach, Amsterdam, 1999.
  81S30 (81-02 81S40)
• 1722271 (2000g:81125)
  Shabanov, Sergei V.(RS-JINR-TP)
  Yang-Mills theory as an abelian theory without gauge fixing. (English. English summary)
  Phys. Lett. B 463 (1999), no. 2-4, 263--272.
  81T13
• 1720345 (2000h:83078)
  Maulbetsch, Christian(D-FUB-TP); Shabanov, Sergei V.(RS-JINR-TP)
  The inverse variational problem for autoparallels. (English. English summary)
  J. Phys. A 32 (1999), no. 28, 5355--5366.
  83C99 (53B50 81T20)
• 1714256 (2000f:81125)
  Shabanov, Sergei V.(RS-JINR-TP)
  An effective action for monopoles and knot solitons in Yang-Mills theory. (English. English summary)
  Phys. Lett. B 458 (1999), no. 2-3, 322--330.
  81T13 (81T25 81T80)
• 1689292 (2000b:81096)
  Shabanov, Sergei V.(RS-JINR-TP); Klauder, John R.(1-FL)
  Towards a nonperturbative path integral in gauge theories. (English. English summary)
  Phys. Lett. B 456 (1999), no. 1, 38--47.
  81T13 (81S40 81T25)
• 1670291
  Düchting, Norbert(D-AACH-P); Shabanov, Sergei V.(RS-JINR-TP); Strobl, Thomas(D-AACH-P)
  BRST inner product spaces and the Gribov obstruction. (English. English summary)
  Nuclear Phys. B 538 (1999), no. 1-2, 485--514.
  81T70 (81T13 81T50)
• 1647614
  Shabanov, Sergei V.(RS-JINR-TP); Klauder, John R.(1-FL-P)
  Path integral quantization and Riemannian-symplectic manifolds. (English. English summary)
  Phys. Lett. B 435 (1998), no. 3-4, 343--349.
  81S30 (81S40)
• 1641135
  Kleinert, H.(D-FUB-TP); Shabanov, S. V.(RS-JINRM-TP)
  Theory of Brownian motion of a massive particle in spaces with curvature and torsion. (English. English summary)
  J. Phys. A 31 (1998), no. 34, 7005--7009.
  82C31
• 1631452
  Shabanov, Sergei V.(RS-JINR-TP)
  Constrained systems and analytical mechanics in spaces with torsion. (English. English summary)
  J. Phys. A 31 (1998), no. 22, 5177--5190.
  70F25 (53C22 58F05 70H30)
• 1610422
  Klauder, John R.(1-FL); Shabanov, Sergei V.(D-FUB-TP)
  Coordinate-free quantization of second-class constraints. (English. English summary)
  Nuclear Phys. B 511 (1998), no. 3, 713--736.
  81T70 (81S40)
• 1606111
  Scholtz, F. G.(SA-STEL-P); Shabanov, S. V.(RS-JINR-TP)
  Gribov versus BRST. (English. English summary)
  Ann. Physics 263 (1998), no. 1, 119--132.
  81T70 (81T13)
• 1668668
  Scholtz, F. G.(SA-STEL-P); Shabanov, S. V.(E-VLNC-TP)
  Supersymmetric quantization of Yang-Mills theory and possible applications. (English. English summary)
  Proceedings of the Second International A. D. Sakharov Conference on Physics (Moscow, 1996), 558--561,
  World Sci. Publishing, River Edge, NJ, 1997.
  81T13 (81V05)
• 1620084
  Prokhorov, L. V.; Shabanov, S. V.
  {\cyr Gamil\cprime tonova mekhanika kalibrovochnykh sistem}. (Russian. Russian summary) [Hamiltonian mechanics of gauge systems]
  Izdatel\cprime stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 293 pp. ISBN 5-288-01523-6
  81-01 (53C80 58-01 81S40 81T13)
• 1479597
  Kleinert, Hagen(D-FUB-TP); Shabanov, Sergei V.(RS-JINR-TP)
  Supersymmetry in stochastic processes with higher-order time derivatives. (English. English summary)
  Phys. Lett. A 235 (1997), no. 2, 105--112.
  82C31 (82C10)
• 1467417
  Kleinert, Hagen(D-FUB-TP); Shabanov, Sergei V.(RS-JINR-TP)
  Proper Dirac quantization of a free particle on a $D$-dimensional sphere. (English. English summary)
  Phys. Lett. A 232 (1997), no. 5, 327--332.
  81S99
• 1442912
  Klauder, John R.(1-FL-P); Shabanov, Sergei V.(RS-JINR-TP)
  Coordinate-free quantization of first-class constrained systems. (English. English summary)
  Phys. Lett. B 398 (1997), no. 1-2, 116--122.
  81S10 (81R30 81S40)
• 1672505
  Shabanov, Sergei V.(E-VLNC-TP)
  Path integral in holomorphic representation without gauge fixation. (English. English summary)
  Path integrals: Dubna '96, 133--138,
  Joint Inst. Nuclear Res., Dubna, 1996.
  81S40
• 1413802
  Shabanov, Sergei V.(D-FUB-TP)
  Dirac potentials in gauge models. (English. English summary)
  Group theoretical methods in physics (Toyonaka, 1994), 423--427,
  World Sci. Publishing, River Edge, NJ, 1995.
  81T13
• 1369179
  Shabanov, Sergei V.(RS-JINR-TP)
  $2$D Yang-Mills theories, gauge orbit spaces and the path integral quantization. (English. English summary)
  Comm. Theoret. Phys. (Allahabad) 4 (1995), no. 1, 1--62.
  58D30 (58D19 81S40 81T13 81T50)
• 1336076
  Shabanov, Sergei V.(D-FUB-TP)
  $q$-oscillators, non-Kähler manifolds and constrained dynamics. (English. English summary)
  Modern Phys. Lett. A 10 (1995), no. 12, 941--948.
  81R50 (81S10)
• 1328132
  Kleinert, H.(D-FUB-TP); Shabanov, S. V.(RS-JINRM-TP)
  Quantum Langevin equation from forward-backward path integral. (English. English summary)
  Phys. Lett. A 200 (1995), no. 3-4, 224--232.
  82C10 (81S40 82C31)
• 1472998
  Shabanov, Sergey V.(RS-JINR-TP)
  A transition amplitude on the gauge orbit space. (English. English summary)
  Constraint theory and quantization methods (Montepulciano, 1993), 176--189,
  World Sci. Publishing, River Edge, NJ, 1994.
  58D19 (58D30 81T13 81T50)
• 1359795
  Shabanov, Sergey V.(RS-JINRM-TP)
  On minisuperspace gauge models with fermions. (English. English summary)
  Classical and quantum gravity (Évora, 1992), 322--331,
  World Sci. Publishing, River Edge, NJ, 1993.
  83C45
• 1352978
  Shabanov, Sergei V.(RS-JINRM-TP)
  Phase space structure in gauge theories and quantum dynamics. (English. English summary)
  Classical and quantum systems (Goslar, 1991), 698--702,
  World Sci. Publishing, River Edge, NJ, 1993.
  81T13
• 1268202
  Dubovik, V. M.(RS-JINRM-TP); Shabanov, S. V.(RS-JINRM-TP)
  The gauge invariance, toroid order parameters and radiation in electromagnetic theory. (English. English summary)
  Essays on the formal aspects of electromagnetic theory, 399--474,
  World Sci. Publishing, River Edge, NJ, 1993.
  78A35 (81V10)
• 1257877
  Prokhorov, L. V.(RS-JINRM); Fursaev, D. V.(RS-JINRM); Shabanov, S. V.(RS-JINRM)
  String-like excitations in quantum electrodynamics and the strong coupling method. (Russian. English, Russian summary)
  Teoret. Mat. Fiz. 97 (1993), no. 3, 373--385; translation in Theoret. and Math. Phys. 97 (1993), no. 3, 1355--1363 (1994)
  81V10
• 1257375
  Shabanov, Sergey V.(RS-JINRM-TP)
  Phase space structure and the path integral for gauge theories on a cylinder. (English. English summary)
  Phys. Lett. B 318 (1993), no. 2, 323--330.
  81T13 (58D30 81S40)
• 1234416
  Shabanov, Sergey V.(RS-JINRM-TP)
  Quantum and classical mechanics of $q$-deformed systems. (English. English summary)
  J. Phys. A 26 (1993), no. 11, 2583--2606.
  81S05 (70H99 81R50)
• 1193827
  Shabanov, Sergei V.(RS-JINRM-TP)
  The Poisson bracket for $q$-deformed systems. (English. English summary)
  J. Phys. A 25 (1992), no. 22, L1245--L1250.
  81R50 (17B37 17B81 81S05)
• 1187268
  Shabanov, Sergei V.(RS-JINR-TP)
  Path integral for the $q$-deformed oscillator and its interpretation. (English. English summary)
  Phys. Lett. B 293 (1992), no. 1-2, 117--122.
  81S05 (81R50)
• 1140154
  Shabanov, S. V.(RS-JINRM-TP)
  The phase space structure in minisuperspace cosmological models.
  Phys. Lett. B 272 (1991), no. 1-2, 11--16.
  83C45
• 1118563
  Prokhorov, L. V.(RS-STPT); Shabanov, S. V.(RS-JINR)
  Phase space of mechanical systems with a gauge group.
  Soviet Phys. Uspekhi 34 (1991), no. 2, 108--140; translated from Uspekhi Fiz. Nauk 161 (1991), no. 2, 13--75 (Russian)
  58D30 (58F05 81T13)
• 1106409
  Shabanov, S. V.
  Nonperturbative Green functions in quantum gauge theories.
  With a Russian summary. {\cyr Soobshcheniya Ob\cdprime edinennogo Instituta Yadernykh Issledovani\u\i. Dubna} [Communications of the Joint Institute for Nuclear Research. Dubna], E2-91-79.
  Joint Inst. Nuclear Res., Dubna, 1991. 13 pp.
  81T15
• 1105683
  Shabanov, S. V.(2-JINRM-TP)
  Quantization of constrained systems and path integrals in curvilinear supercoordinates.
  J. Phys. A 24 (1991), no. 6, 1199--1214.
  81S40 (58D30)
• 1105017
  Shabanov, S. V.(RS-JINRM-TP)
  Nonperturbative Green functions in quantum gauge theories.
  Modern Phys. Lett. A 6 (1991), no. 10, 909--921.
  81T13
• 1095006
  Shabanov, S. V.(2-JINR-TP)
  Path integral for Yang-Mills theory in a nonperturbative region.
  Phys. Lett. B 255 (1991), no. 3, 398--404.
  81T13 (81S40)
• 1090037
• 1087655
  Shabanov, S. V.(2-JINRM-TP)
  Phase space reduction and the choice of physical variables in gauge theories.
  Internat. J. Modern Phys. A 6 (1991), no. 5, 845--863.
  81T13
• 1063019
• 1126539
  Prokhorov, L. V.(RS-STPT); Shabanov, S. V.(RS-JINR)
  The phase space structure of gauge theories and quasiclassical description.
  Topological phases in quantum theory (Dubna, 1988), 354--370,
  World Sci. Publishing, Teaneck, NJ, 1989.
  81T10
• 1037536
  Shabanov, S. V.
  {\cyr Struktura fazovogo prostranstva v kalibrovochnykh teoriyakh}. (Russian) [The structure of the phase space in gauge theories]
  With an English summary. {\cyr Lektsii dlya Molodykh Uchenykh} [Lectures for Young Scientists], R2-89-533.
  Ob\cdprime ed. Inst. Yadernykh Issled., Dubna, 1989. 84 pp.
  81T13 (81S40)
• 1034221
  Dubovik, V. M.(2-JINRM-TP); Shabanov, S. V.(2-NOVO)
  Free-field potentials in electrodynamics.
  Phys. Lett. A 142 (1989), no. 4-5, 211--214.
  81G10
• 996224
  Shabanov, S. V.(2-LENI)
  Quantum mechanics of systems with a gauge group. (Russian. English summary)
  Teoret. Mat. Fiz. 78 (1989), no. 3, 411--421; translation in Theoret. and Math. Phys. 78 (1989), no. 3, 292--300
  81C25 (22E70 81C35)
• 982211
  Prokhorov, L. V.(2-LENI); Shabanov, S. V.(2-LENI)
  The role of the Weyl group in gauge theories.
  Phys. Lett. B 216 (1989), no. 3-4, 341--344.
  81E13 (22E70 70G25 70G35)
• 962621
  Prokhorov, L. V.; Shabanov, S. V.
  A path integral in quantum mechanical systems with an arbitrary gauge group. (Russian. English summary)
  Vestnik Leningrad. Univ. Fiz. Khim. 1988, vyp. 2, 8--14.
  81C35 (81E13)
• 951088
  Prokhorov, L. V.; Shabanov, S. V.
  Hamiltonian path integral for systems with a conical phase space. (Russian. English summary)
  Vestnik Leningrad. Univ. Fiz. Khim. 1988, vyp. 1, 68--71, 120.
  81C35