Analysis of Half-Spin Particle Motion in Kerr–Newman Field by Means of Effective Potentials in Second-Order Equations
- Authors: Neznamov V.P.1, Shemarulin V.E.1
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Affiliations:
- Russian Federal Nuclear Center—All-Russian Research Institute of Experimental Physics
- Issue: Vol 24, No 2 (2018)
- Pages: 129-138
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176165
- DOI: https://doi.org/10.1134/S0202289318020111
- ID: 176165
Cite item
Abstract
The self-conjugate Dirac Hamiltonian is obtained in the Kerr–Newman field. A transition is implemented to a Schrödinger-type relativistic equation. For the case where the angular and radial variables are not separated, the method of obtaining effective potentials is generalized. Effective potentials have isolated singularities on the event horizons as well as at certain parameters of the Kerr–Newman field and of the fermion in the neighborhoods of some values of the radial coordinate. For the extreme Kerr–Newman field, the impossibility of existence of stationary bound states of half-spin particles is proved.
About the authors
V. P. Neznamov
Russian Federal Nuclear Center—All-Russian Research Institute of Experimental Physics
Author for correspondence.
Email: vpneznamov@vniief.ru
Russian Federation, prosp. Mira 37, Sarov, 607188
V. E. Shemarulin
Russian Federal Nuclear Center—All-Russian Research Institute of Experimental Physics
Email: vpneznamov@vniief.ru
Russian Federation, prosp. Mira 37, Sarov, 607188