Published August 1980 | Version v1
Journal article

Finite motion of electrons in the field of microscopic small black holes

  • 1. Moskovskij Gosudarstvennyj Univ. (USSR)

Description

The finite motion of electrons in the field of microscopic black holes (M<<1017r) is considered in the single particle approximation of the Dirac equation in the supposition that the hole is characterized by rotation (a<<M) and charge, much lower than the critical charge (Z<<137). In this case the particle motion is non-relativistic and the energy spectrum is hydrogen-like. The effect of hole rotation on the energy of particle bond is small and insignificant for the determination of level quenching due to the capture with a hole. Unlike the scalar particle the quenching of electron states is not followed by excitation at ω<msub(j)Ωsub(H)+eVsub(H). The gravitation spin-orbital interaction has a great effect on quenching valUes. The probability of capturing an electron with a spin antiparallel to the orbital momentum is much higher than the probability of capturing a particle with a spin parallel to the orbital momentum. The quenching of the electron S-state in the Schwarzschield field is 8 times lower than the quenching of the main state of the scalar particle

Additional details

Additional titles

Original title (Russian)
Финитное движение электронов в поле микроскопических малых черных дыр

Publishing Information

Journal Title
Izv. Vyssh. Uchebn. Zaved., Fiz.
Journal Volume
23
Journal Issue
8
Series
Izv. Vyssh. Uchebn. Zaved., Fiz.
Journal Page Range
56-62
ISSN
0021-3411

Optional Information

Notes
For English translation see the journal Soviet Physics Journal (USA).