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

DOI10.1134/S0040577918120115zbMath1428.83008OpenAlexW2908785681MaRDI QIDQ2286636

V. P. Neznamov

Publication date: 22 January 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918120115

zbMATH Keywords

Dirac equationeffective potentialspinor wave functionself-adjoint second-order equation

Mathematics Subject Classification ID

Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Methods of quantum field theory in general relativity and gravitational theory (83C47) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

Quantum mechanics of stationary states of particles in a space-time of classical black holes ⋮ Quantum mechanical equivalence of the metrics of a centrally symmetric gravitational field

Cites Work

• Analysis of half-spin particle motion in Kerr-Newman field by means of effective potentials in second-order equations
• Interaction of Neutrinos and Gravitational Fields
• Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry
• Finite motion of electrons in the field of microscopic black holes
• Energy and Momentum Density in Field Theory
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