Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-11-29
J.Phys.Conf.Ser.306:012061,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages (standard 12pt article). Text of a talk given at DICE2010: "Space-Time-Matter - current issues in quantum mechanics a
Scientific paper
10.1088/1742-6596/306/1/012061
The Dirac wave function in a curved spacetime is usually defined as a quadruplet of scalar fields. It can alternatively be defined as a four-vector field. We describe these two representations in a common geometrical framework and we prove theorems that relate together the different representations and the different choices of connections. In particular, the standard Dirac equation in a curved spacetime, with any choice of the tetrad field, is equivalent to a particular realization of the Dirac equation for a vector wave function, in the same spacetime.
Arminjon Mayeul
Reifler Frank
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