Abstract
We consider the effect of relativistic corrections and rotation of the central body on the structure of the energy spectrum of a particle with spin in the Schwarzchild and Kerr fields. A splitting of levels is obtained, which corresponds to the classical shift of the perihelion of the orbit and precession of the plane of the gravitational spin-orbit interaction and several nonlinear spin effects are calculated.
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Translated from Izvestiya Vysshykh Uchebnykh Zavedenii, Fizika, No. 2, pp. 86–92, February, 1988.
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Ternov, I.M., Gaina, A.B. Energy spectrum of the dirac equation for the Scharzschild and Kerr fields. Soviet Physics Journal 31, 157–163 (1988). https://doi.org/10.1007/BF00896542
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DOI: https://doi.org/10.1007/BF00896542