Exact solution of Dirac and Klein-Gordon-Fock equations in a curved space admitting a second Dirac operator

Details Exact solution of Dirac and Klein-Gordon-Fock equations in a curved space admitting a second Dirac operator Exact solution of Dirac and Klein-Gordon-Fock equations in a curved space admitting a second Dirac operator

Sep 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cqgra..18.3735k&link_type=abstract

Classical and Quantum Gravity, Volume 18, Issue 17, pp. 3735-3752 (2001).

Physics

2

Scientific paper

We give a brief review of integration methods of relativistic wave equations in curved spaces. On the basis of a non-commutative integration method we give an exact solution of Dirac and Klein-Gordon-Fock equations in a four-dimensional Ricci flat manifold admitting a second Dirac operator. Some analytical properties of the solutions are studied. We compare spectra of spin and scalar particles as well. A visual model of the supersymmetry structure which arises is considered and the physical sense of the second Dirac operator is explained.

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