¹Universidad de Los Andes, Bogotá, Colombia. Email: dbatic@uniandes.edu.co
²Universidad de Los Andes, Bogotá, Colombia. Email: Harald.Schmid@UBH.de

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.

Key words: Dirac equation, Kerr-Newman metric, general relativity.

En este trabajo derivamos la raíz cuadrada del operador generalizado del momento angular para una partícula de Dirac en la métrica de Kerr-Newman. La constante de separación λ introducida por el ansatz de Chandrasekhar resulta ser el valor propio de J. Después de haber mostrado que J es un operador de simetría, probamos la completitud del ansatz de Chandrasekhar para la ecuación de Dirac en coordenadas esferoidales oblongas y derivamos una expresión analítica para el operador de evolución temporal e^-itH.

Palabras clave: Ecuación de Dirac, métrica de Kerr-Newman, relatividad general.

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