Аннотация:
Исследуются условия разделимости переменных в уравнении Дирака
в гравитационных полях. Доказаны строгие теоремы, указывающие необходимые
и достаточные условия разделимости переменных при диагональной
калибровке тетрады. Получены операторы, определяющие зависимость
волновой функции от разделившихся переменных.
Образец цитирования:
И. Е. Андрушкевич, Г. В. Шишкин, “О критериях разделимости переменных в уравнении Дирака в гравитационных полях”, ТМФ, 70:2 (1987), 289–302; Theoret. and Math. Phys., 70:2 (1987), 204–214
Ion I. Cotăescu, “Flat limit of the de Sitter QFT in the rest frame vacuum”, Chinese Phys. C, 45:1 (2021), 013108
Ion I. Cotăescu, “Time evolution of the free Dirac field in spatially flat FLRW space–times”, Int. J. Mod. Phys. A, 35:32 (2020), 2030019
De-Hone Lin, “On the magnetic Hooke-Newton transmutation of electrons”, J. Phys. Commun., 3:8 (2019), 085014
Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli, “Symmetry operators and separation of variables for Dirac's equation on two-dimensional spin manifolds with external fields”, Int. J. Geom. Methods Mod. Phys., 12:01 (2015), 1550012
De-Hone Lin, “Quantum structure emerging from the transformation design of the Dirac equation”, Annals of Physics, 345 (2014), 98
V. Adanhounme, A. Adomou, F. P. Codo, M. N. Hounkonnou, “Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton-Like Solutions”, JMP, 03:09 (2012), 935
De-Hone Lin, “Cloaking two-dimensional fermions”, Phys. Rev. A, 84:3 (2011)
De-Hone Lin, “Cloaking spin-12matter waves”, Phys. Rev. A, 81:6 (2010)
F. Belgiorno, S. L. Cacciatori, “Massive Dirac particles on the background of charged de Sitter black hole manifolds”, Phys. Rev. D, 79:12 (2009)
Shahpoor Moradi, “Exact Solutions of Dirac Equation and Particle Creation in (1+3)-Dimensional Robertson-Walker Spacetime”, Int J Theor Phys, 48:4 (2009), 969
F Belgiorno, S L Cacciatori, “Quantum effects for the Dirac field in a Reissner–Nordström–AdS black hole background”, Class. Quantum Grav., 25:10 (2008), 105013
ION I. COTĂESCU, RADU RACOCEANU, COSMIN CRUCEAN, “REMARKS ON THE SPHERICAL WAVES OF THE DIRAC FIELD ON de SITTER SPACETIME”, Mod. Phys. Lett. A, 21:16 (2006), 1313
V V Klishevich, V A Tyumentsev, “On the solution of the Dirac equation in de Sitter space”, Class. Quantum Grav., 22:20 (2005), 4263
Vı́ctor M. Villalba, Esteban Isasi Catalá, “Separation of variables and exact solution of the Klein–Gordon and Dirac equations in an open universe”, Journal of Mathematical Physics, 43:10 (2002), 4909
Ion I. Cotăescu, “Polarized Dirac fermions in de Sitter spacetime”, Phys. Rev. D, 65:8 (2002)
F. Belgiorno, M. Martellini, M. Baldicchi, “Naked Reissner-Nordström singularities and the anomalous magnetic moment of the electron field”, Phys. Rev. D, 62:8 (2000)
M. N. Hounkonnou, J. E. B. Mendy, “Exact solutions of Dirac equation for neutrinos in presence of external fields”, Journal of Mathematical Physics, 40:9 (1999), 4240
M. N. Hounkonnou, J. E. B. Mendy, “Exact solutions of the Dirac equation in a nonfactorizable metric”, Journal of Mathematical Physics, 40:8 (1999), 3827
G. V. Shishkin, “Two-component neutrino in gravitational field”, Il Nuovo Cimento B, 109:6 (1994), 617
V. M. Villalba, “Particle Creation in a Universe Filled with Radiation and Dust-Like Matter”, Progress of Theoretical Physics, 90:4 (1993), 851