Schmid, Harald (2004) Bound state solutions of the Dirac equation in the extreme Kerr geometry. MATHEMATISCHE NACHRICHTEN, 274. pp. 117-129. ISSN 0025-584X, 1522-2616
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In this paper we consider bound state solutions, i.e., normalizable time-periodic solutions of the Dirac equation in an extreme Kerr black hole background with mass M and angular momentum J. It is shown that for each azimuthal quantum number k and for particular values of J the Dirac equation has a bound state solution, and that the energy of this Dirac particle is uniquely determined by omega = -kM/2J. Moreover, we prove a necessary and sufficient condition for the existence of bound states in the extreme Kerr-Newman geometry, and we give an explicit expression for the radial eigenfunctions in terms of Laguerre polynomials. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TIME-PERIODIC SOLUTIONS; BLACK-HOLE; NONEXISTENCE; Dirac equation; Kerr geometry; bound states |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jul 2021 10:50 |
| Last Modified: | 23 Jul 2021 10:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38211 |
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