List of Publications of Anatoly G. Nikitin

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Monographs

  1. W.I. Fushchich and A. G. Nikitin, Symmetries of Equations of Quantum Mechanics, N.Y., Allerton Press Inc., 1994. 480 pp. (Extended and revised version of the russian edition).
  2. В.И. Фущич, А.Г. Никитин, Симметрия уравнений квантовой механики, Москва: Наука, 1990. - 400 с.    Full text:  pdf  (19,4 Mb), djvu  (5,7 Mb).  Viewer for djvu-files (freeware).
  3. W. I. Fushchich and A. G. Nikitin, Symmetries of Maxwell's equations, D.Reidel, Dordrecht, 1987. 220 pp. (Extended and revised version of the russian edition)
  4. В.И. Фущич, А.Г. Никитин, Симметрии уравнений Максвелла, Наукова Думка, Киев, 1983. 200 с.
Papers published in referred journals
  1. A. G. Nikitin. Non-stardand Dirac equation for non-standard spinors. Int. J. Mod. Phys. D 23 (2014) 1444007. arXiv:1403.0880
  2. A.G. Nikitin, Laplace--Runge--Lenz vector with spin in any dimension. J. Phys. A: Math. Theor. 47 (2014) 375201. arXiv:1403.0880
  3. A.G. Nikitin, Laplace-Runge-Lenz vector for arbitrary spin, J. Math. Phys. 54 (2013), 123506. arXiv:1308.4279
  4. A.G. Nikitin, Superintegrable systems with spin invariant with respect to the rotation group. J. of Physics A: Math. Theor. 46 (2013), 265204. arXiv:1303.1297
  5. A.G. Nikitin, Superintegrable systems with arbitrary spin. Ukrainian Journal of Physics 58 (2013), 1046-1054.
  6. A. G. Nikitin, Integrability and supersymmetry of Schrodinger-Pauli equations for neutral particles. J. Math. Phys. 53 (2012) 122103 (14pp). arXiv:1204.5902
  7. A. G. Nikitin, New exactly solvable systems with Fock symmetry. J. Phys. A: Math. Theor. 45 (2012) 485204 (9pp). arXiv:1205.3094
  8. A. G. Nikitin and Oksana Kuriksha, Symmetries and solutions of field equations of axion electrodynamics, Phys. Rev. D 86, 025010 (2012) (12p).arXiv:1201.4935.
  9. A. G. Nikitin, Matrix superpotentials and superintegrable systems for arbitrary spin, J. Phys. A: Math. Theor. 45 (2012) 225205 (13p). arXiv:1201.4929
  10. A. G. Nikitin and O. Kuriksha, Invariant solutions for equations of axion electrodynamics. Commun Nonlinear Sci Numer Simulat (2012), V. 17, 4585-4601. arXiv:1002.0064
  11. A. G. Nikitin and Yuri Karadzhov, Enhanced classification of matrix superpotentials, J. Phys. A: 44 (2011) 445202 (24 pp), arXiv:1107.2525
  12. A. G. Nikitin and Yuri Karadzhov, Matrix superpotentials.J. Phys. A: 44 (2011) 305204 (21 pp). arXiv:1101.4129v2
  13. E. Ferraro, N. Messina and A.G. Nikitin, Exactly solvable relativistic model with the anomalous interaction. Phys. Rev. A 81 (2010) 042108 (8 p), arXiv:0909.5543
  14. J. Niederle, A. G. Nikitin and O. Kuriksha, Maxwell-Chern-Simons models: Their symmetries, exact solutions and non-relativistic limits. Acta Polytechnica 50 (2010) 96-101.
  15. J. Niederle and A. G. Nikitin, Galilei-invariant equations for massive fields. J. Phys. A: Math. Theor. 42 (2009) 245209 (25p); arXiv:0812.3021
  16. J. Niederle and A. G. Nikitin, Galilean equations for massless fields. J. Phys. A: Math. Theor. 42 (2009) 105207 (19p); ArXiv 0810.1894
  17. A. G. Nikitin, S. V. Spichak, Yu. S. Vedula and A. G. Naumovets, Symmetries and modeling functions for diffusion processes, J. Phys. D: Appl. Phys. 42 (2009) 055301 (12pp). arXiv:0808.2177v2 [physics.data-an]
  18. A. G. Nikitin, Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. III. Triangular diffusion matrix, Ukrainian Mathematical Journal Vol. 59, No 3, pp. 395-411, 2007 ; math-ph/0502048
  19. A. G. Nikitin, Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems, J. Math. Analysis and Applications (JMAA) vol. 332, No 1, pp. 666-690, 2007.doi: 10.1016/j.jmaa.2006.10.032. math-ph/0411028
  20. B. Militello, A. Galkin, A. Nikitin and A. Messina, Three-mode two-boson Jaynes–Cummings model in trapped ions, J. Phys. A: Math. Theor. 40 (2007) pp. 533-543. pdf
  21. J. Niederle and A. G. Nikitin, Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group, Czechoslovak Journal of Physics, Vol. 56 (2006), No. 10-11, pp. 1243-1250; pdf
  22. J. Niederle and A. G. Nikitin, Relativistic Coulomb problem for particles with arbitrary half-integer spin, J. Phys. A: Math. Gen. Vol. 39 (2006) no 34, pp. 10931-10944. hep-th/0412214
  23. M de Montigny, J Niederle and A G Nikitin, Galilei invariant theories: I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions, J. Phys. A: Math. Gen., vol 39 (2006) no 29, pp. 9365-9385. math-ph/0604002
  24. A. G. Nikitin, Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. I. Generalized Landau-Ginzburg equations, Journal of Mathematical Analysis and Applications, Vol. 324, (2006) Issue 1, pp. 615-628 math-ph/0411027
  25. A.G. Nikitin, Group Classification of Systems of Non-Linear Reaction-Diffusion Equations, Ukranian Mathematical Bulletin, Vol. 2 (2006) pp. 153 – 204
  26. A.G. Nikitin and T.A. Barannyk, Solitary wave and other solutions for nonlinear heat equations, Central European Journal of Mathematics, Vol. 2 (2004) no. 5, pp. 840-858
  27. M. Moshinsky and A. G. Nikitin, The many body problem in relativistic quantum mechanics, Revista Mexicana de Fisica, vol. 50 S (2004) no. 2, pp. 66-73
  28. A. G. Nikitin and A.V. Galkin, Tensor-bispinor equations for doublets, Hadronic Journal, Vol. 26 (2003) no. 1, pp. 351-367.
  29. A. G. Nikitin and R. J. Wiltshire, Systems of Reaction Diffusion Equations and their symmetry properties, Journal of Mathematical Physics, vol. 42 (2001) no. 4, pp. 1667-1688
  30. A. G. Nikitin and A. V. Galkin, Extended Poincaré parasuperalgebra with central charges and Wess-Zumino-Weinberg model, Nuclear Physics B (proc.Supl.), Vol. 102&103 (2001) pp. 322-327,
  31. J. Niederle and A. G. Nikitin, Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins, Physical Review D, Vol. 64 (2001) No 12, pp. 125013-125024
  32. A. G. Nikitin and R. O. Popovych, Group classification of nonlinear Schrödinger equations, Ukrainian Mathematical Journal, V. 53 (2001) No 8, pp. 1255-1265 [Translated from: Ukrain'skii Matematychnyi Zhurnal, V. 53 (2001) No 8, pp. 1053-1060].
  33. A. G. Nikitin and A. V. Galkin, Extended Poincaré parasuperalgebra with central charges and invariant wave equations. Journal of Physics A: Mathematical and General, vol. 33 (2000) pp. 8525-8547.
  34. A. G. Nikitin, Algebras of discrete symmetries and supersymmetries for the Schrödinger-Pauli equation, International Journal of Modern Physics, vol. 14 (1999) no. 6, pp. 885-897
  35. J. Niederle and A. G. Nikitin, Extended supersymmetries for the Schrödinger-Pauli equation, Journal of Mathematical Physics, Vol. 40 (1999) no. 3, pp. 1280-1293.
  36. J. Niederle and A. G. Nikitin, Irreducible representations of the extended Poincaré parasuperalgebra, Journal of Physics A: Mathematical and General, Vol. 32 (1999) no. 27 pp. 5141-5155.
  37. A. G. Nikitin, On exact Foldy-Wouthuysen transformation, Journal of Physics A: Mathematical and General, Vol. 31 (1998) no. 14, pp. 3297-3300.
  38. M. Moshinsky, A. G. Nikitin, A. Sharma and Yu. F. Smirnov, Supermultiplets and relativisric problems: II. The Bhabha equation of arbitrary spin and its properties, Journal of Physics A: Mathematical and General, vol. 31 (1998) no. pp. 6045- 6055.
  39. M. Moshinsky, A. G. Nikitin and A. Sharma, Analysis of relativistic particles of arbitrary spin through different chains of groups, Revista Mexicana de Fisica, Vol. 44 Suplemento 2 (1998) pp. 1-10,
  40. A. Sharma, A. G. Nikitin and Yu. F. Smirnov, Mass and spin content of a free relativistic particle of arbitrary spin and the group reduction, Revista Mexicana de Fisica, vol. 44 Suplemento 2 (1998) pp. 23-25.
  41. J. Niederle and A. G. Nikitin, Involutive symmetries, supersymmetries and reductions of the Dirac equation, J. Phys. A, Vol. 30 (1997) No 4, pp 999-1010.
  42. M. Bednar, N. Ndimubandi and A. G. Nikitin, On connection between the two-body Dirac oscillator and Kemmer oscillators, Canadian Journal of Physics, Vol. 75 (1997) No. 5, pp. 283-290.
  43. A. G. Nikitin and V.V. Tretynyk, Parasupersymmetries and non- Lie constants of motion for two-particle equations, Int. Journ. of Mod. Phys., Vol. 12 (1997) No. 24, pp. 4369-4386.
  44. J. Niederle and A. G. Nikitin, Non-Lie and discrete symmetries of the Dirac equation, Journal of Nonlinear Mathematical Physics, Vol. 4 (1997) no. 3-4, pp. 436-444.
  45. J. Beckers, N. Debergh and A. G. Nikitin, On reducibility of supersymmetric quantum mechanics, International Journal of Theoretical Physics, vol. 36 (1997) no. 9, pp. 1991-2003.
  46. W.I. Fushchich and A. G. Nikitin, Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation, Journal of Mathematical Physics, vol. 38 (1997) no. 11, pp. 5944- 5959.
  47. N. Debergh and A. G. Nikitin, Parasupersymmetric quantum mechanics with an arbitrary number of parasupercharges and orthogonal Lie algebras, Helvetica Physica Acta, vol. 68 (1995) no. 1, pp. 19-31.
  48. A. G. Nikitin and V.V. Tretynyk, Irreducible Representations of the Poincaré Parasuperalgebra, Journal of Physics A: Mathematical and General, vol. 28 (1995) pp. 1655-1668.
  49. J. Beckers, N. Debergh and A. G. Nikitin, On Parasupersymmetries and Relativistic Description for Spin One Particles: I. The free particle context, Fortschritte der Physik, vol. 43 (1995) no. 1, pp. 67-80.
  50. J. Beckers, N. Debergh and A. G. Nikitin, On Parasupersymmetries and Relativistic Description for Spin One Particles: II. The interacting context with (electro)magnetic fields, Fortschritte der Physik, vol. 43 (1995) no. 1, pp. 81-95.
  51. A. G. Nikitin, Non-Lie Symmetries and Supersymmetries, Journal of Nonlinear Mathematical Physics, vol. 2 (1995) no. 3-4, pp. 405-415.
  52. A. G. Nikitin, On the weak supersymmetry, Journal of Nonlinear Mathematical Physics, vol. 1 (1994) no. 2, pp. 202-205.
  53. J. Beckers, N. Debergh and A. G. Nikitin, More on parasupersymmetries of the Schrödinger equation, Modern Physics Letters, A, vol. 8 (1993) no 5, pp. 435-444.
  54. J. Beckers, N. Debergh and A. G. Nikitin, On hidden SU(3)- Symmetry in parasupersymmetric quantum mechanics, Journal of Physics A: Mathematical and General, vol. 26 (1993) pp. L853-L857.
  55. J. Beckers, N. Debergh and A. G. Nikitin, More on symmetries of the Schrödinger equation, Journal of Physics A: Mathematical and General, vol. 24 (1992) no. 21, pp. L1269-L1275.
  56. J. Beckers, N. Debergh and A. G. Nikitin, On supersymmetries in nonrelativistic quantum mechanics, Journal of Mathematical Physics, vol. 33 (1992) no. 1, pp. 152-160.
  57. J. Beckers, N. Debergh and A. G. Nikitin, Extended Dirac symmetries and hidden supersymmetry, Phys. Lett. B, vol. 279 (1992) pp. 333-335.
  58. А.Г. Никитин, С.П. Онуфрийчук, В.И. Фущич, Высшие симметрии уравнения Шредингера, Теоретическая и математическая физика (1992) том 91, № 2, С. 268–278.
    A. G. Nikitin, S.P. Onufryichuk and W.I. Fushchych, Higher symmetries of the Schrödinger equation, Theoretical and Mathematical Physics, vol. 91 (1992) no. 2, pp. 514-521.
  59. W.I. Fushchych and A. G. Nikitin, The complete set of conservation laws for the electromagnetic field, Journal of Physics A: Mathematical and General, vol. 25 (1992) no. 5, pp. L231-L233.
  60. J. Beckers, N. Debergh and A. G. Nikitin, More on supersymmetries of the Schrödinger equation, Modern Physics Letters, A, vol. 7 (1992) no. 18, pp. 1609-1616.
  61. J. Beckers, N. Debergh and A. G. Nikitin, On pararelativistic quantum oscillators, Journal of Mathematical Physics, vol. 33 (1992) no. 10, pp. 3387-3392.
  62. J. Beckers, N. Debergh and A. G. Nikitin, Lie extended symmetries and relativistic particles, Journal of Physics A: Mathematical and General, vol 25 (1992) pp. 6145-6154.
  63. A. G. Nikitin, Complete set of symmetry operators of the Schrödinger equation, Ukrainian Mathematical Journal, vol. 43 (1991) no. 11, pp. 1413-1418. [Translated from Ukrainskii Matematicheskii Zhurnal, vol. 43 (1991) no. 11, pp. 1521-1527].
  64. A. G. Nikitin, Generalized Killing tensors of arbitrary valence and order, Ukrainian Mathematical Journal, vol. 43 (1991) no. 6, pp. 734-743. [Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43 (1991) no. 6, pp. 786-795.]
  65. А.Г. Никитин, В.И. Фущич, Нелиевские интегралы движения для частиц произвольного спина и для систем взаимодействующих частиц, Теоретическая и математическая физика, том 88 (1991) № 3, 406–415.
    A. G. Nikitin and W. I. Fushchich, Non-Lie constants of motion for particles of arbitrary spin and systems of coupled particles, Theoretical and Mathematical Physics, vol. 88 (1991) no. 3, pp. 960-967.
  66. A. G. Nikitin, Complete set of symmetry operators of the Dirac equation, Ukrainian Mathematical Journal, vol. 43 (1991) no. 10, pp. 1287-1296. [Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43 (1991) No. i0, pp. 1388-1398.]
  67. A. G. Nikitin, S. P. Onufryichuk and A. I. Prilipko, Symmetry operators of the Breit equation, Doklady Akademii Nauk Ukrainy (Proc. Acad.Sci of the Ukraine), no. 6 (1990) pp. 28-31.
  68. W. I. Fushchich and A. G. Nikitin, On the new constants of motion for two- and three-particle equations, Journal of Physics A: Mathematical and General, vol. 23 (1990) no. 11, pp. L533-L535.
  69. W. I. Fushchich and A. G. Nikitin, On new symmetries and conservation laws for elastic waves, Doklady Akademii Nauk SSSR (Proc. Acad. Sci. of the USSR), vol. 304 (1989) no. 2, pp. 333-335(in Russian).
  70. W. I. Fushchich and A. G. Nikitin, On the new invariance algebras and superalgebras of relativistic wave equations, Journal of Physics A: Mathematical and General, vol. 20 (1987) no. 3, pp. 537-549.
  71. A. G. Nikitin, Non-relativistic particle of arbitrary spin in the Coulomb field, Acta Physica Polonica, B, vol. 16 (1985) no. 1, pp. 3-11.
  72. W. I. Fushchich, A. G. Nikitin and V.M. Susloparow, Relativistic particle of arbitrary spin in the Coulomb and magnetic monopole field, Nuovo Cimento, A, vol. 87 (1985)no. 4, pp. 415-424.
  73. W. I. Fushchich and A. G. Nikitin, On one- and two-particle Galilei-invariant wave equations for any spin, Nuovo Cimento, A, vol. 81 (1984) no. 3, pp. 664-660.
  74. W. I. Fushchich and A. G. Nikitin, On new and old symmetries of the Maxwell and Dirac equations, Fizika Elementarnych Chastits i Atomnogo Yadra (ECHAYA), vol. 14 (1983) no. 1, pp. 5-57. (in Russian, English abstract)
  75. A. G. Nikitin, Relativistic particle of arbitrary spin in the Coulomb and plane wave fields, Theoretical and Mathematical Physics, vol. 57 (1983) no. 2, pp. 1123-1128. [Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 57 (983) No.2, pp. 257-264].
  76. W. I. Fushchich and A. G. Nikitin, On the new symmetries of Maxwell equations, Czechoslovak Journal of Physics, B, vol. 32 (1982) no. 4, pp. 437- 480.
  77. A. G. Nikitin, Non-relativistic equations of motion for arbitrary spin particles with anomalous interaction, Acta Physica Polonica, B, vol. 14 (1982) no. 5, pp. 369-374.
  78. A. G. Nikitin, Galilean invariant equations with anomalous interaction, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 26 (1981) no. 3, 394-402.
  79. W. I. Fushchich and A. G. Nikitin, Nonrelativistic equations of motion for particles with arbitrary spin, Fizika Elementarnych Chastits i Atomnogo Yadra (ECHAYA), vol. 12 (1981) no. 5, pp. 1157-1219. (in Russian, English abstract)
  80. A. G. Nikitin and V. V. Nakonechnii, On invariance algebras of the Dirac and Schrödinger equations, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 25, no. 4 (1980) pp. 618-621.
  81. А.Г. Никитин, В.И. Фущич, Уравнения движения для частиц произвольного спина, инвариантные относительно группы Галилея, Теоретическая и математическая физика, том 44 (1980) № 1, С. 34–46.
    A. G. Nikitin and W. I. Fushchich, The equation of motion for particles of arbitrary spin invariant under the Galilei group, Theoretical and Mathematical Physics, vol. 44 (1980) no. 1, pp. 584-592.
  82. W. I. Fushchich and A. G. Nikitin, Reduction of the representations of the generalized Poincaré algebra by the Galilei algebra, Journal of Physics A: Mathematical and General, vol. 13 (1980) no. 7, pp. 2319-2330.
  83. W. I. Fushchich and A. G. Nikitin, On the new invariance group of Maxwell's equations Lettere al Nuovo Cimento, vol. 24 (1979) no. 7, pp. 220-224.
  84. W. I. Fushchich and A. G. Nikitin, On the new invariance algebras of relativistic equations for massless particles, Journal of Physics A: Mathematical and General, vol. 12 , (1979) no. 6, pp. 747-757.
  85. W. I. Fushchich and A. G. Nikitin, On the invariance groups of a quasirelativistic equation of motion, Doklady Akademii Nauk SSSR (Proc.Acad. Sci. of the USSR), vol. 238(1978) no. 1, pp. 46-49. (in Russian)
  86. W. I. Fushchich, A. G. Nikitin and V. A. Salogub, On the non-relativistic motion equations in the Hamiltonian form for arbitrary spin particles, Reports on Mathematical Physics, vol. 13 (1978) no. 2, pp. 175-185.
  87. А.Г. Никитин, В.И. Фущич, , Пуанкаре-инвариантные дифференциальные уравнения для частиц произвольного спина, Теоретическая и математическая физика, том 34 (1978) № 3, С. 319–333.
    A. G. Nikitin and W. I. Fushchich, Poincaré-invariant differential equations for particles of arbitrary spin, Theoretical and Mathematical Physics, vol. 34 (1978) no. 3, pp. 203-212.
  88. W. I. Fushchich and A. G. Nikitin, Poincaré-invariant equations of motion for particles of arbitrary spin, Fizika Elementarnych Chastits i Atomnogo Yadra (ECHAYA), vol. 9 (1978) no. 3, pp. 501-553. (in Russian, English abstract)
  89. W. I. Fushchich and A. G. Nikitin, On the invariance groups of relativistic equations for spinning particles interacting with external fields, Lettere al Nuovo Cimento, vol. 21, no. 16 (1978) pp. 541-546.
  90. W. I. Fushchich and A. G. Nikitin, Conformal invariance of relativistic equations for arbitrary spin particles, Letters in Mathematical Physics, vol. 2 (1978) no. 2, pp. 471-475.
  91. А.Г. Никитин, Ю.Н. Сегеда, В.И. Фущич, О дополнительной инвариантности уравнений Кеммера–Дэффина и Рариты–Швингера, Теоретическая и математическая физика, том 29 (1976) № 1, с. 82–93.
    A. G. Nikitin, Yu. N. Segeda, and W. I. Fushchich, Additional invariance of the Kemmer-Duffin and Rarita-Schwinger equations, Theoretical and Mathematical Physics, vol. 29 (1977) no. 1, pp. 943-950.
  92. A. G. Nikitin and S. P. Onufryichuk, On diagonalization of the generalized Kemmer-Duffin equation with proper time, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 22 (1977) no. 5, pp. 713-716.
  93. A. G. Nikitin and S. P. Onufryichuk, On diagonalization of the Bhabha equations, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 22 (1977) no. 9, pp. 1353-1357.
  94. W. I. Fushchich and A. G. Nikitin, On the new invariance groups of the Dirac and Kemmer-Duffin-Petiau equations, Lettere al Nuovo Cimento, vol. 19 (1977) no. 9, pp. 347-352.
  95. А.Г. Никитин, В.И. Фущич, И.И. Юрик, Редукция неприводимых унитарных представлений обобщенных групп Пуанкаре по их подгруппам, Теоретическая и математическая физика, том 26 (1976) № 2, С. 206–220.
    A. G. Nikitin, W. I. Fushchich and I. I. Yurik, Reduction of irreducible unitary representations of generalized Poincaré groups by their subgroups, Theoretical and Mathematical Physics, vol. 26 (1976) no. 2, pp. 138-147.
  96. W. I. Fushchich and A. G. Nikitin, On the Galilei-invariant equations for particles with arbitrary spin, Lettere al Nuovo Cimento, vol. 16 (1976) no. 3, pp. 81-85.
  97. W. I. Fushchich and A. G. Nikitin, On the Poincaré-invariant equations for particles with variable spin and mass, Reports on Mathematical Physics, vol. 8 (1975) no. 1, pp. 33-48.
  98. A. G. Nikitin and V. A. Salogub, On transformation of the Hagen-Hurley equations to a form not containing superfluous components. Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 20 (1975) no. 10, pp. 1730-1732.
  99. W. I. Fushchich, A. G. Nikitin, and V.A. Salogub, On the equations of motion for particles with arbitrary spin in non-relativistic mechanics, Lettere al Nuovo Cimento, vol. 14 (1975) no. 3, pp. 483-488.
  100. A. G. Nikitin and A.L. Grishchenko, Poincaré-invariant equations for particles of zero mass and arbitrary spin, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 19 (1974) no. 10, pp. 1666-1669.
  101. W. I. Fushchich and A. G. Nikitin, On the possible types of equations for zero-mass particles, Lettere al Nuovo Cimento, vol. 7, no. 11 (1973) pp. 439-442.
  102. A. G. Nikitin, Relativistic equations of motion for a system with variable spin, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 18 (1973) no. 10, pp. 1605-1614.
  103. A. G. Nikitin, On the nonrelativistic limit of equations without 'superfluous' components, Ukrainskii Fizicheskii Zhurnal (Ukrainian Physical Journal), vol. 19 (1973) no. 6, pp. 1000-1005.
  104. В.И. Фущич, А.Л. Грищенко, А.Г. Никитин, О релятивистских уравнениях движения без "лишних" компонент, Теоретическая и математическая физика, том 8 (1971) № 2, С. 192–205.
    W. I. Fushchich, A. L. Grishchenko and A. G. Nikitin, On the relativistic equations of motion without superfluous components, Theoretical and Mathematical Physics, vol. 8 (1971) no. 2, pp. 766-775.
Papers published in the Conference Proceedings
  1. Anatoly G. Nikitin and Oksana Kuriksha, Group analysis of equations of axion electrodynamics. Proceedings of the Fifth International Workshop "Group Analysys of Differential Equations and Integrable Systems", June 6-10, 2010, Protaras, Cyprus, University of Cyprus, Nikosia, 2011, pp. 152-163
  2. J. Niederle and A. G. Nikitin, Galilean massless fields. In: Proceedings of 4th workshop "Group Analysis of Differential Equations and Integrable Systems", Protaras, Cyprus, ISBN 978-9963-869-12-5, Cyprus University, 2009, pp. 164-172.
  3. J. Niederle and A. G. Nikitin, More on Galilean Electromagnetism. Proceedings of the 5th MATHEMATICAL PHYSICS MEETING: Summer School and Conference on Modern Mathematical Physics, July 6 - 17, 2008, Belgrade, Serbia, Editors B. Dragovich, Z. Raki¶c Institute of Physics Belgrade, 2009 SERBIA.
  4. J. Niederle and A. G. Nikitin, Relativistic Coulomb problem for massive charged particles with arbitrary half-integer spin. Proc. of the International Workshop "Supersymmetries and quantum symmetries" (SQS'05), A. Ivanov and B.M. Zupnik, Dubna, Russia, July 27-31, 2005. Joint Inst. for Nuclear Research, 2006, pp. 256-261.
  5. A. G. Nikitin, Higher-order symmetry operators for Schroedinger equation, Superintegrability in classical and quantum systems, CRM Proc. Lecture Notes, Vol. 37, 2004, pp 137--144 .
  6. T.A. Barannyk and A.G. Nikitin, Solitary Wave Solutions for Heat Equations, Proceedings of Institute of Mathematics of NAS of Ukraine, Vol. 50, Part 1, pp. 34-39, 2004, Proc. of the Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kiev, June 23-29, 2003.
  7. B. Militello, A.G. Nikitin and A. Messina, Symmetries and Supersymmetries in Trapped Ion Hamiltonian Models, Proceedings of Institute of Mathematics of NAS of Ukraine, Vol. 50, Part 2, pp. 569-573, 2004, Proc. of the Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kiev, June 23-29, 2003.
  8. J. Niederle and A.G. Nikitin, Extended SUSY with Central Charges in Quantum Mechanics, Proceedings of Institute of Mathematics of NAS of Ukraine, Vol. 43, Part 2, pp. 497-507, 2002, Proc. of the Fourth International Conference "Symmetry in Nonlinear Mathematical Physics", Kiev, July 9-15, 2001.
  9. A. G. Nikitin, Extended Poincaré Parasuperalgebra with Central Charges, In: Lorentz Group, CPT and Neutrinos, Proc. of the Int.Workshop, Zacatecas, 1999, Eds A.E Chubycalo et al, Word Scientific, 2000, pp. 3-11.
  10. A. G. Nikitin, Symmetry Analysis of the Nonlinear Schrödinger Equation, In: Quantum Theory and Symmetries, Proc. of the Internat. Symposium, Goslar, Germany, 1999, Eds H.-D. Doebner, V. K. Dobrev, J.-D. Hennig and W. Lucke, World Scientific, 2000, pp. 159-164.
  11. A. G. Nikitin and R. Wiltshire, Symmetries of Systems of Nonlinear Reaction-Diffusion Equations, Proceedings of Institute of Mathematics of NAS of Ukraine, v. 30, Part 1, pp. 41-53, 2000, Proc. of the Third International Conference "Symmetry in Nonlinear Mathematical Physics", Kiev, July 12-19, 1999.
  12. A. G. Nikitin, Superalgebras of Symmetry Operators for the Coulomb and Aharonov-Bohm-Coulomb systems, In: Photon and Poincaré Group, V.V. Dvoyeglazov Ed., Nova Science Publ., N.Y., 1999, pp. 74-80.
  13. A. G. Nikitin, Wigner induced representation method and the Poincaré parasuperalgebra, In: 5th Wigner Symposium, Eds. P. Kasperkovitz and D. Grau, Word Scientific, 1998, pp. 227-229.
  14. A. G. Nikitin, On extended supersymmetries in quantum mechanics, In: GROUP21 Physical applications and mathematical aspects of geometry, groups and algebras, Vol. 1, Eds. H.-D. Doebner, W. Sherer, P. Natterman, World Scientific, Singapoore, 1997, p. 509-514.
  15. R. Andrushkiw and A. G. Nikitin, Higher Symmetries of the Wave Equation with Scalar and Vector Potentials, In: Symmetries in nonlinear mathematical physics, Proceedings of the Second Int. Conference, Kiev, July 8-13, 1997. Vol. 2, Eds. M. Shkil, A. Nikitin, and V. Boyko, Inst. of Mathematics of the Nat. Acad. Sci. of the Ukraine, pp. 321-327.
  16. A. G. Nikitin, Scientific heritage of W. Fushchych, In: Symmetries in nonlinear mathematical physics, Proceedings of the Second Int. Conference, Kiev, July 8-13, 1997. Vol. 2, Eds. M. Shkil, A. Nikitin, and V. Boyko, Inst. of Mathematics of the Nat. Acad. Sci. of the Ukraine, pp. 11-20.
  17. A. G. Nikitin, On Extended Supersymmetries and Parasupersymmetries, In: X International Conference Problerms of Quantum Field Theory, JINR E2-96-369, Dubna, 1996.
  18. J. Beckers, N. Debergh and A. G. Nikitin, New results on symmetries in quantum mechanics, Anales de Ficica, Monografias, Vols 1 and 2, M.Q., M.S. and J.M.G. (Eds). CIEMAT/RSEF, Madrid (1993), vol. 2, p.202.
  19. W. I. Fushchich and A. G. Nikitin, On superalgebras of symmetry operators of relativistic wave equations, Selected Topics in QFT and Mathematical Physics, Proceedings of the 5th International conference (Liblice, Czechoslovakia, June 25-30, 1989), Editors J. Niederle and J. Fisher, World Scientific, 1990, pp. 385-391.
  20. A. G. Nikitin, On relativistic and nonrelativistic Coulomb problem for particles of arbitrary spin, Group-Theoretical Methods in Physics, Proceedings of 3-d International Seminar, Yurmala, May 1985. - in 2 vol., M. Nauka, 1986. Vol. 2, pp. 282-287.
  21. A. G. Nikitin, W. I. Fushchich and V. A. Vladimirov, New symmetries and conservation laws for electromagnetic field, in: Group-Theoretical Methods in Physics, pp. 497-505, Harwood Academic Publishers, Harwood, 1985.
  22. A. G. Nikitin, V. A. Vladimirov, and W. I. Fushchich, On new symmetry and conservation laws for the electromagnetic field, in: Group-Theoretical methods in physics, Proceedings of 2nd International Conference, Zvenigorod, 1982, in 2 volumes (in Russian), vol. 2, pp. 421-428, Nauka, Moscow, 1983.
  23. A. G. Nikitin and W. I. Fushchich, Galilean invariant equations of motion with spin-orbit interaction, in: Group-Theoretical methods in physics, Proc. of International seminar, Zvenigorod, 1979, in 2 volumes (in Russian), vol. 2, pp. 35-41, Nauka, Moscow, 1980.
Papers published in the Proceedings of the Institute of Mathematics
of the Acad. Sci. of the Ukraine
  1. A. G. Nikitin, Supersymmetries of the Dirac equation for a charged particle interacting with electric field. Group and analytic methods in mathematical physics, Proceedings of the Institute of Mathematics of the Acad. Sci. of the Ukraine, Vol. 36, pp. 197-205, Kiev, 2001.
  2. A. G. Nikitin, Superalgebras of symmetry operators of the Dirac equation, Algebraic Theoretical Analysis of Equations of Mathematical Physics [in Russian], pp. 43-46, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1990.
  3. A. G. Nikitin and A. I. Prilipko, Solution of determining equations for symmetry operators of arbitrary order, Symmetry and Solutions of Equations of Mathematical Physics [in Russian], pp.40-44, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1989.
  4. A. G. Nikitin, Second order symmetry operators admitted by Weyl's equation, Symmetry Analysis of Equations of Mathematical Physics [in Russian], pp. 47-53, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1987.
  5. A. G. Nikitin, Symmetry operators of the Weyl equation, Group-Theoretical Studies of Equations of Mathematical Physics [in Russian], pp. 34-39, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1985.
  6. A. G. Nikitin, Separation of variables in systems of partial differential equations invariant under the group O(3), Algebraic-Theoretical Methods in Problems of Mathematical Physics [in Russian], pp. 87-98, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1983.
  7. A. G. Nikitin, First order differential equations invariant under the Galilei group, Algebraic-Theoretical Studies in Mathematical Physics [in Russian], pp. 90-104, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1981.
  8. W. I. Fushchich and A. G. Nikitin, Group properties of Maxwell's equations, Group-Theoretical Methods in Mathematical Physics, pp. 45-80, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1978. (in Russian, English abstract)
  9. A. G. Nikitin, On the invariance group of the Kemmer- Duffin-Petiau equation for a particle with anomalous moment, Group-Theoretical Methods in Mathematical Physics [in Russian], pp. 81-95, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1978.
  10. A. G. Nikitin, On an additional symmetry of the Dirac-Fierz-Pauli equation, Group-Theoretical Methods in Mathematical Physics [in Russian], pp. 96-102, Inst. of Math. Acad. Sci. of Ukraine, Kiev, 1978.
Papers published as preprints
  1. J. Niederle and A. G. Nikitin, Involutive symmetries, supersymmetries and reductions of the Dirac equation, Preprint ILAS/EP-10/1996, Trieste, 1996.
  2. W.I. Fushchich and A. G. Nikitin, Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation, Preprint ASI-TPA/9/96, Clausthale, 1996.
  3. A. G. Nikitin and A. I. Prilipko, Generalized Killing Tensors and Symmetry of the Klein-Gordon-Fock Equation, math-ph/0506002. The first version of the paper was published as a preprint in Russian: Preprint N 90.23, Kyiv, Institute of Mathematics, 1990, 59 p
  4. W. I. Fushchich and A. G. Nikitin, Differential equations of first and second orders for particles of arbitrary spin, Preprint IM-77-3, Kiev, Inst. of Mathematics of Acad. Sci., 1977., 48 p. (in Russian)
  5. W. I. Fushchich, A. G. Nikitin, and I.I. Yurik, Reduction of representations of group of motions of (n+1)-dimensional Minkowski space by the Poincaré group, Preprint IM-75-5, Kiev, Inst.of Math., 1975.
  6. V. I. Fushchich and A. G. Nikitin, The non-Lagrangian Equations of Motion with Variable Spin and Mass, Preprint ITP-121E, Kiev, 1973.
  7. W. I. Fushchich, A. L. Grishchenko and A. G. Nikitin, On the relativistic equations of motion without superfluous components, Preprint ITP-70-89E, 1970.
Other publications
  1. A.G.Nikitin, Parasupersymmetric quantum mechanics, In: Concise Enciclopedy of Supersymmetry, S. Duplij, W.Siegel and J. Bagger Ed-ors, Kluwer Academic Publishers, 2004, p. 289.
  2. A.G.Nikitin, Weak supersymmetry, In: Concise Enciclopedy of Supersymmetry, S. Duplij, W.Siegel and J. Bagger Ed-ors, Kluwer Academic Publishers, 2004, p. 503-504.
  3. A. G. Nikitin, Extended Poincare Parasuperalgebra with Central Charges, In: Lorentz Group, CPT and Neutrinos, Proc. of the Int. Workshop, Zacatecas, 1999, Eds A.E Chubycalo et al, Word Scientific, 2000, pp. 3-11.
    Theses
    1. A. G. Nikitin, Non-Lagrangian Equations for Particles of Arbitrary Spin, Ph.D.Thesis, Kiev, Institute of Mathematics of Acad. Sci., 1974.
    2. A. G. Nikitin, Equations of Motion for Particles of Arbitrary Spin invariant with respect to the Galilei and Poincaré groups, Dr. Sci. Thesis, Kiev, Inst. for Theor. Phys., 1987.