V. P. Neznamov, “Second-order equations for fermions on Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman space–times”, TMF, 197:3 (2018), 493–509; Theoret. and Math. Phys., 197:3 (2018), 1823

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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 3, Pages 493–509
DOI: https://doi.org/10.4213/tmf9570 (Mi tmf9570)

This article is cited in 7 scientific papers (total in 7 papers)

Second-order equations for fermions on Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman space–times

V. P. Neznamov^ab

^a Federal State Unitary Enterprise "Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics" Sarov, Nizhny Novgorod region, Russia
^b National Engineering Physics Institute "MEPhI", Moscow, Russia

Full-text PDF (459 kB) Citations (7)

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DOI: https://doi.org/10.4213/tmf9570

Abstract: We obtain relativistic self-adjoint second-order equations for fermions in Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman gravitational and electromagnetic fields. Second-order equations with effective potentials and spinor wave functions extend opportunities for obtaining regular solutions of quantum mechanics equations for spin-$1/2$ particles.

Keywords: Dirac equation, self-adjoint second-order equation, spinor wave function, effective potential.

Received: 22.03.2018
Revised: 28.04.2018

English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 3, Pages 1823–1837
DOI: https://doi.org/10.1134/S0040577918120115

Bibliographic databases:

PACS: 03.65.-w, 04.20.-q

Language: Russian

Citation: V. P. Neznamov, “Second-order equations for fermions on Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman space–times”, TMF, 197:3 (2018), 493–509; Theoret. and Math. Phys., 197:3 (2018), 1823–1837

Citation in format AMSBIB

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https://www.mathnet.ru/eng/tmf9570

https://doi.org/10.4213/tmf9570

https://www.mathnet.ru/eng/tmf/v197/i3/p493

This publication is cited in the following 7 articles:

V. P. Neznamov, I. I. Safronov, V. E. Shemarulin, “Prüfer transformation and its application to the numerical description of the motion of quantum particles with various spins in the fields of classical black holes”, Theoret. and Math. Phys., 214:1 (2023), 89–105
V. P. Neznamov, V. E. Shemarulin, “Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields”, Int. J. Mod. Phys. A, 36:14 (2021), 2150086
M. V. Gorbatenko, V. P. Neznamov, “Quantum mechanics of stationary states of particles in a space–time of classical black holes”, Theoret. and Math. Phys., 205:2 (2020), 1492–1526
V P Neznamov, “Quantum particles and the ergosphere of the Kerr metric”, J. Phys.: Conf. Ser., 1690:1 (2020), 012138
M. V. Gorbatenko, V. P. Neznamov, “Quantum mechanical equivalence of the metrics of a centrally symmetric gravitational field”, Theoret. and Math. Phys., 198:3 (2019), 425–454
V. P. Neznamov, I. I. Safronov, “Second-order stationary solutions for fermions in an external Coulomb field”, J. Exp. Theor. Phys., 128:5 (2019), 672–683
V. P. Neznamov, I. I. Safronov, V. Y. Shemarulin, “Stationary solutions of the second-order equation for fermions in kerr-newman space-time”, J. Exp. Theor. Phys., 128:1 (2019), 64–87

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	386
Full-text PDF :	96
References:	46
First page:	22

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