Публикации

 
  1. И. М. Тернов, В. Г. Багров, Р. А. Резаев. Излучение быстрых электронов с ориентированным спином в магнитном поле. Журнал экспериментальной и теоретической физики. 1964, т. 46, вып. 1, с. 374-382.
  2. И. М. Тернов, В. Г. Багров, А. М. Хапаев. Электромагнитное излучение нейтрона во внешнем магнитном поле. Журнал экспериментальной и теоретической физики. 1965, т. 48, вып. 3, с. 921-927.
  3. A. A. Sokolow, I. M. Ternow, W. G. Bagrow, D. W. Galzow, W. T. Shukowski. Uber die selbstandige Polarisierung des Spins der Elektronen durch Ausstrahlung bei der Bewegung auf einer Spiralbahn im Magnetfeld. Zeitschrift fur Physik. 1968, B. 211, H. 1, S. 1-8.
  4. A. A. Sokolow, I. M. Ternow, W. G. Bagrow. Quantentheorie der Bewegung eines Elektrons in zyklischen Resonanzbeschleuniger. Annalen der Physik. 1970, B. 25, H. 1, S. 44-55.
  5. V. G. Bagrov, V. R. Khalilov, A. A. Sokolov, I. M. Ternov. On the Emission of Radiation by Electrons moving in the Magnetic Ondulator. Annalen der Physik. 1973, B. 30, H. 1, S. 1-5.
  6. В. Г. Багров, Д. М. Гитман, А. А. Соколов, И. М. Тернов, Н. И. Федосов, В. Р. Халилов. Излучение релятивистских электронов в ондуляторе конечной длины. Журнал технической физики. 1975, т. 45, вып. 9, с. 1948-1953.
  7. V. G. Bagrov, I. L Buchbinder, D. M. Gitman. Coherent States of a Relativistic Particle in an External Electromagnetic Field. Journal of Physics. A. 1976, v. 9, № 11, p. 1955-1965.
  8. В. Г. Багров, В. А. Бордовицын. Классическая теория спина. Известия вузов. Физика. 1980, т. 23, № 2, с. 67-76.
  9. V. G. Bagrov, M. M. Nikitin, I. M. Ternov, N. I. Fedosov. Radiation from an Electron Moving in a «Short» Magnet. Nuclear Instruments & Methods in Physics Research. 1983, v. 208, № 1-3, p. 167-169.
  10. V. G. Bagrov, N. I. Fedosov, I. M. Ternov. Radiation of Relativistic Electrons Moving in an Arc of a Circle. Physical Review D. 1983, v. 28, № 10, p. 2464-2472.
  11. V. G. Bagrov, V. V. Belov, I. M. Ternov. Quasiclassical Trajectory – Coherent States of a Particle in an Arbitrary Electromagnetic Fields. Journal of Mathematical Physics. 1983, v. 24, № 12, p. 2855-2859.
  12. V. G. Bagrov, M. M. Nikitin, N. I. Fedosov, V. F. Zal’mezh, V. Ya. Epp. Inversion of the Theory for Electromagnetic Radiation from Charged Particles. Nuclear Instruments & Methods in Physics Research. A. 1985, v. 239, № 3, p. 579-584.
  13. V. G. Bagrov, N. I. Fedosov, G. F. Kopytov, S. S. Oxsyzyan, V. B. Tlyachev. Radiational Self – polarization of Electrons Moving in the Electromagnetic Plane – Wave Field. Nuovo Cimento. B. 1989, v. 103, № 5, p. 549-560.
  14. V. G. Bagrov, D. M. Gitman. Exact Solutions of Relativistic Wave Equations. Kluwer Academic Publishers. Dordrecht/Boston/London. 1990. 336 p.
  15. В. Г. Багров, В. В. Белов, М. Ф. Кондратьева. Квазиклассическое приближение в квантовой механике. Новый подход. Теоретическая и математическая физика. 1994, т. 98, № 1, с. 48-55.
  16. V. G. Bagrov, V. V. Belov, A. Yu. Trifonov. Semiclassical Trajectory – Coherent Approximation in Quantum Mechanics. I. High – Order Corrections to Multidimensional Time – Dependent Equations of Schrodinger Type. Annals of Physics. 1996, v. 246, № 2, p. 231-290.
  17. V. G. Bagrov, G. S. Bisnovatyi – Kogan, V. A. Bordovitsyn, A. V. Borisov, O. F. Dorofeev, V. Ya. Epp, V. S. Gushchina, V. Ch. Zhukovsky. Synchrotron Radiation Theory and Its Development. Editor: V.A. Bordovitsyn. World Scientific. Singapore New Jersey London Hong Kong. 1999. 447 p.
  18. V. G. Bagrov, D. M. Gitman, A. Levin, V. B. Tlyachev. Aharonov – Bohm Effect in Cyclotron and Synchrotron Radiations. Nuclear Physics. B. 2001, v. 605, № 1-3, p. 425-454.
  19. V. G. Bagrov, V. G. Bulenok, D. M. Gitman, Jose Acosta Jara, V. B. Tlyachev, A. T. Jarovoi. Angular Behavior of Synchrotron Radiation Harmonics. Physical Review. E. 2004, v. 69, № 4-2, 046502(8 pages).
  20. V. G. Bagrov, S. P. Gavrilov, D. M. Gitman, D. P. Meira Filho. Coherent and Semiclassical States in a Magnetic Field in the Presence of the Aharonov – Bohm Solenoid. Journal of Physics. A. 2011, v. 44, № 5, 055301 (35 pages).
  21. V. G. Bagrov, D. M. Gitman, A. D. Levin. Quantum Motion in Superposition of Aharonov – Bohm with Some Additional Electromagnetic Fields. Journal of Mathematical Physics. 2012, v. 53, № 5, 052304 (16 pages).
  22. П.О. Казинский, Эффективная динамика электрически заряженной струны с током, ЖЭТФ – 2005. – Т. 128. – С. 312-321.
  23. П.О. Казинский, Реакция излучения мультипольных моментов, ЖЭТФ – 2007. – Т. 132. – С. 370-386.
  24. P.O. Kazinski, Fluctuations as stochastic deformation, Phys. Rev. E – 2008. – V. 77. – P. 041119.
  25. P.O. Kazinski, Stochastic deformation of a thermodynamic symplectic structure, Phys. Rev. E – 2009. – V. 79. – P. 011105.
  26. P.O. Kazinski, One-loop effective potential of the Higgs field on the Schwarzschild background, Phys. Rev. D – 2009. – V. 80. – P.124020.
  27. P.O. Kazinski, M.A. Shipulya, Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields, Phys. Rev. E – 2011. –V. 83 – P. 066606.
  28. P.O. Kazinski, M.A. Shipulya, One-loop omega-potential of quantum fields with ellipsoid constant-energy surface dispersion law, Ann. Phys. (NY) – 2011. – V. 326. – P. 2658-2693.
  29. P.O. Kazinski, Gravitational mass-shift effect in the standard model, Phys. Rev. D – 2012. – V. 85. – P. 044008.
  30. I.A. Batalin, S.L. Lyakhovich, I.V. Tyutin, Split involution and second class constraints, Mod.Phys.Lett. A7 (1992) 1931-1943.
  31. I.A. Batalin, S.L. Lyakhovich, I.V. Tyutin, Split involution coupled to actual gauge symmetryInt.J.Mod.Phys. A10 (1995) 1917-1936.
  32. I.A. Batalin, S.L. Lyakhovich, Existence theorem for split involution constraint algebra, Int.J.Mod.Phys. A15 (2000) 307-334.
  33. A.Yu. Kamenshchik, S.L. Lyakhovich, Hamiltonian BFV-BRST theory of closed quantum cosmological models, Nucl.Phys. Proc.Suppl. 57 (1997) 303-306.
  34. M.A. Grigoriev, S.L. Lyakhovich, Fedosov deformation quantization as a BRST theory, Commun.Math.Phys. 218 (2001) 437-457.
  35. I. A. Batalin, M.A. Grigoriev, S.L. Lyakhovich, Star-product for second class constrained systems from a BRST theory, Theor.Math.Phys. 128 (2001) 1109-1139.
  36. I. Batalin, S. Lyakhovich, R. Marnelius, Projection operator approach to general constrained systems, Phys.Lett. B534 (2002) 201-208.
  37. S. Lyakhovich, M. Zabzine, Poisson geometry of sigma models with extended supersymmetry, Phys.Lett. B548 (2002) 243-251.
  38. Lyakhovich S.L., Segal A.Yu., Sharapov A.A. A Universal Model of D=4 Spinning Particle // Phys. Rev. D. - 1996. - V.54. - P.5223-5250.
  39. Kuzenko S.M., Lyakhovich S.L., Segal A.Yu., Sharapov A.A. Massive Spinning Particle on Anti-de Sitter Space // Int. J. Mod. Phys. A. - 1996. - V.11. - P.3307-3329.
  40. Segal A.Yu., Sharapov A.A. Coherent (spin-)tensor fields on D=4 anti-de Sitter space // Class. Quantum Grav. - 1999. - V.16. - P.1-14.
  41. Lyakhovich S.L., Sharapov A.A., Shekhter K.M. Spinning Particle in Six Dimensions // J. Math. Phys. - 1997. - V.38. - P.4086-4103.
  42. Lyakhovich S.L., Sharapov A.A., Shekhter K.M. Massive spinning particle in any dimension. (I) Integer spins // Nucl. Phys. B. - 1999. - V.537. - P.640-652.
  43. Lyakhovich S.L., Sharapov A.A., Shekhter K.M. A uniform model of the massive spinning particle in any dimension // Int. J. Mod. Phys. A. - 2000. - V.15. - P.4287-4299.
  44. Dolgushev V.A., Lyakhovich S.L., Sharapov A.A. Wick-type deformation quantization of Fedosov manifolds // Nucl. Phys. B. - 2001. - V.606. - P.647-672.
  45. Gorbunov I.V., Lyakhovich S.L., Sharapov A.A. Wick quantization of cotangent bundles over Riemannian manifolds // J. Geom. and Phys. - 2005. - V.53. - P.98-121.
  46. Gorbunov I.V., Sharapov A.A. String with noncommutative world-sheet and stringy instantons // Phys. Lett. B. - 2002. - V.531. - P.255-262.
  47. Dolgushev V.A., Isaev A.P., Lyakhovich S.L., Sharapov A.A. On the Fedosov Deformation Quantization Beyond the Regular Poisson Manifolds // Nucl. Phys. B. - 2002. - V.645. - P.457-476.
  48. Lyakhovich S.L., Sharapov A.A. BRST quantization of quasisymplectic manifolds and beyond // J. Math. Phys. - 2006. - V.47. - P.043508 (26 p.).
  49. Kazinski P.O., Lyakhovich S.L., Sharapov A.A. Radiation reaction and renormalization in classical electrodynamics of point particle in any dimension // Phys. Rev. D. - 2002. - V.66. - P.025017.
  50. Kazinski P.O., Sharapov A.A. Radiation reaction for a massless charged particle // Class. Quantum Grav. - 2003. - V.20. - P.2715-2725.
  51. Казинский П.О., Шарапов А.А. Реакция излучения и перенормировка в классической теории поля с сингулярными источниками // ТМФ. - 2005. - Т.143. - N 8. - С.375-400.
  52. Lyakhovich S.L., Sharapov A.A. Characteristic classes of gauge systems // Nucl. Phys. B. – 2004. - V.703. - P.419-453.
  53. Lyakhovich S.L., Sharapov A.A. BRST theory without Hamiltonian and Lagrangian // JHEP. - 2005. - V.03. - N 011 (21 p.).
  54. Kazinski P.O., Lyakhovich S.L., Sharapov A.A. Lagrange Structure and Quantization // JHEP. - 2005. - V.07. – N 076 (39 p.).
  55. Lyakhovich S.L., Sharapov A.A. Schwinger-Dyson equation for non-Lagrangian field theory // JHEP. - 2006. - V.02. - N 007 (41 p.).
  56. Lyakhovich S.L., Sharapov A.A. Quantizing non-Lagrangian gauge theories: an augmentation method // JHEP. - 2007. - V.01. - N 047 (39 p.).
  57. Lyakhovich S.L., Sharapov A.A. Quantization of Donaldson-Uhlenbeck-Yau Theory // Phys. Lett. B. - 2007. - V. 656. - P. 265-271.
  58. Lyakhovich S.L., Sharapov A.A. Normal Forms and Gauge Symmetries of Local Dynamics // J. Math. Phys. – 2009. – V.50. – P. 083510 (23 p.).
  59. Kaparulin D.S., Lyakhovich S.L., Sharapov A.A. Rigid Symmetries and Conservation Laws in Non-Lagrangian Field Theory // J. Math. Phys. – 2010. – V. 51. –P. 082902 (22 pp).
  60. Lyakhovich S.L., Mosman E.A., Sharapov A.A. Characteristic classes of Q-manifolds: classification and applications // J. Geom. Phys. – 2010. – V. 60. – P. 729-759.
  61. Mosman E., Sharapov A., All Stable Characteristic Classes of Homological Vector Fields // Lett. Math. Phys. – 2010. – V. 94. – P. 243-261.
  62. Kaparulin D.S., Lyakhovich S.L., Sharapov A.A. On Lagrange structure of unfolded field theory // Int. J. Mod. Phys. A. – 2011. – V. 26 – P. 1347-1362.
  63. Kaparulin D.S., Lyakhovich S.L., Sharapov A.A. Local BRST cohomology in (non)-Lagrangian field theory// JHEP. – 2011. – V. 09. - N 006 (33 p).
  64. Kaparulin D.S., Lyakhovich S.L., Sharapov A.A. Lagrange Anchor and Characteristic Symmetries of Free Massless Fields // SIGMA - 8 – 2012 – 021 (18 pp).
  65. Kaparulin D.S., Lyakhovich S.L., Sharapov A.A. Consistent interactions and involution // JHEP – 2013. – V. 01. – N 097 (30pp).
  66. Brezhnev Yu. V. Spectral/quadrature duality: Picard–Vessiot theory and finite-gap potentials. Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics (eds: P. AcostaHumanez, F. Finkel, N. Kamran, P. Olver). Contemporary Mathematics (2012) 563, 1–31. Amer. Math. Soc.
  67. Brezhnev Yu. V. The sixth Painleve transcendent and uniformizable orbifolds. In: Painleve Equations and Related Topics (eds: A. Bruno, A. Batkhin), 193–198. De Gruyter (2012).
  68. Brezhnev Yu. V. Non-canonical extension of θ-functions and modular integrability of ϑ-constants. Proc. Royal Soc. Edinburgh (2013) 143, 37– 85.
  69. Brezhnev Yu. V. A note on Chudnovsky’s Fuchsian equations. Journ. Diff. Equations (2012) 253, 3727–3751.
  70. Brezhnev Yu. V., Lyakhovich S. L., Sharapov A. A. Dynamical systems defining Jacobi’s ϑ-constants. Journ. Math. Physics (2011) 52(11), 112704(1–21).