On the Eigenvalues of the Chandrasekhar-Page Angular Equation

URN to cite this document:: urn:nbn:de:bvb:355-epub-109891
DOI to cite this document:: 10.5283/epub.10989

Batic, Davide ; Schmid, Harald ; Winklmeier, Monika

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Date of publication of this fulltext: 27 Nov 2009 06:59

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Item type:	Article
Journal or Publication Title:	Journal of mathematical physics
Publisher:	American Institute of Physics
Volume:	46
Number of Issue or Book Chapter:	1
Page Range:	012504
Date:	2005
Institutions:	Mathematics > Prof. Dr. Felix Finster
Keywords:	discrete spectrum; self-adjoint holomorphic operator; power series expansion; recurrence relation
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Published
Refereed:	Unknown
Created at the University of Regensburg:	Yes
Item ID:	10989

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Abstract

In this paper we study for a given azimuthal quantum number $\kappa$ the eigenvalues of the Chandrasekhar-Page angular equation with respect to the parameters $\mu$: $=am$ and $\nu$: $=a\omega$, where $a$ is the angular momentum per unit mass of a black hole, $m$ is the rest mass of the Dirac particle and $\omega$ is the energy of the particle (as measured at infinity). For this purpose, a ...