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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. Neznamovab

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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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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