Exact solutions of the Dirac equation in the Robertson-Walker space-time are obtained by an elementary separation method that represents a straightforward improvement of previous results. The radial equations are integrated by reporting them to hypergeometric equations. The separated time equations are solved exactly for three models of universe expansion and integrated by series in a case of the standard cosmological model. The integration of both radial and time equations represents an improvement of previous results.

Solution of the Dirac equation in expanding universes / A. Zecca. - In: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. - ISSN 0020-7748. - 45:1(2006), pp. 47-55.

Solution of the Dirac equation in expanding universes

A. Zecca
Primo
2006

Abstract

Exact solutions of the Dirac equation in the Robertson-Walker space-time are obtained by an elementary separation method that represents a straightforward improvement of previous results. The radial equations are integrated by reporting them to hypergeometric equations. The separated time equations are solved exactly for three models of universe expansion and integrated by series in a case of the standard cosmological model. The integration of both radial and time equations represents an improvement of previous results.
Curved expanding universes; Dirac equation; Exact solutions
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2006
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/22232
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