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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 70, Number 2, Pages 289–302 (Mi tmf4645)  

This article is cited in 30 scientific papers (total in 30 papers)

Criteria of separability of the variables in the Dirac equation in gravitational fields

I. E. Andrushkevich, G. V. Shishkin
References:
Abstract: Conditions of separability of variables in the Dirac equation in gravitational fields are investigated. Rigorous theorems stating necessary and sufficient conditions for the separability of variables under diagonal tetrad gauge are proved. Operators which determine the wave function dependence on the separated variables are calculated.
Received: 10.09.1985
English version:
Theoretical and Mathematical Physics, 1987, Volume 70, Issue 2, Pages 204–214
DOI: https://doi.org/10.1007/BF01039211
Bibliographic databases:
Language: Russian
Citation: I. E. Andrushkevich, G. V. Shishkin, “Criteria of separability of the variables in the Dirac equation in gravitational fields”, TMF, 70:2 (1987), 289–302; Theoret. and Math. Phys., 70:2 (1987), 204–214
Citation in format AMSBIB
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\by I.~E.~Andrushkevich, G.~V.~Shishkin
\paper Criteria of separability of the variables in the Dirac equation in gravitational fields
\jour TMF
\yr 1987
\vol 70
\issue 2
\pages 289--302
\mathnet{http://mi.mathnet.ru/tmf4645}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=894471}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 70
\issue 2
\pages 204--214
\crossref{https://doi.org/10.1007/BF01039211}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987K225600013}
Linking options:
  • https://www.mathnet.ru/eng/tmf4645
  • https://www.mathnet.ru/eng/tmf/v70/i2/p289
  • This publication is cited in the following 30 articles:
    1. Ion I. Cotăescu, “Flat limit of the de Sitter QFT in the rest frame vacuum”, Chinese Phys. C, 45:1 (2021), 013108  crossref
    2. 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  crossref
    3. De-Hone Lin, “On the magnetic Hooke-Newton transmutation of electrons”, J. Phys. Commun., 3:8 (2019), 085014  crossref
    4. 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  crossref
    5. De-Hone Lin, “Quantum structure emerging from the transformation design of the Dirac equation”, Annals of Physics, 345 (2014), 98  crossref
    6. 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  crossref
    7. De-Hone Lin, “Cloaking two-dimensional fermions”, Phys. Rev. A, 84:3 (2011)  crossref
    8. De-Hone Lin, “Cloaking spin-12matter waves”, Phys. Rev. A, 81:6 (2010)  crossref
    9. F. Belgiorno, S. L. Cacciatori, “Massive Dirac particles on the background of charged de Sitter black hole manifolds”, Phys. Rev. D, 79:12 (2009)  crossref
    10. 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  crossref
    11. 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  crossref
    12. 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  crossref
    13. V V Klishevich, V A Tyumentsev, “On the solution of the Dirac equation in de Sitter space”, Class. Quantum Grav., 22:20 (2005), 4263  crossref
    14. 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  crossref
    15. Ion I. Cotăescu, “Polarized Dirac fermions in de Sitter spacetime”, Phys. Rev. D, 65:8 (2002)  crossref
    16. 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)  crossref
    17. 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  crossref
    18. 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  crossref
    19. G. V. Shishkin, “Two-component neutrino in gravitational field”, Il Nuovo Cimento B, 109:6 (1994), 617  crossref
    20. V. M. Villalba, “Particle Creation in a Universe Filled with Radiation and Dust-Like Matter”, Progress of Theoretical Physics, 90:4 (1993), 851  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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