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.
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 3, pp. 493–509, December, 2018.
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Neznamov, V.P. Second-Order Equations for Fermions on Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman Space–Times. Theor Math Phys 197, 1823–1837 (2018). https://doi.org/10.1134/S0040577918120115
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DOI: https://doi.org/10.1134/S0040577918120115