Abstract

BATIC, DAVIDE  and  SCHMID, HARALD. Chandrasekhar ansatz and the generalized total angular momentum operator for the Dirac equation in the Kerr-Newman metric. Rev.colomb.mat. [online]. 2008, vol.42, n.2, pp.183-207. ISSN 0034-7426.

In this paper we compute the square root of the generalized squared total angular momentum operator J for a Dirac particle in the Kerr-Newman metric. The separation constant λ arising from the Chandrasekahr separation ansatz turns out to be the eigenvalue of J. After proving that J is a symmetry operator, we show the completeness of Chandrasekhar ansatz for the Dirac equation in oblate spheroidal coordinates and derive an explicit formula for the time evolution operator e^-itH.

Keywords : Dirac equation; Kerr-Newman metric; general relativity.

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