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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:34 |
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Conference: Bucharest University Faculty of Physics 2001 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
DIRAC OPERATORS ON CURVED SPACETIMES
Authors:
Mihai Visinescu
Affiliation:
Department of Theoretical Physics
National Institute of Physics and Nuclear Engineering
Magurele, P.O.Box MG-6
76900 Bucharest
ROMANIA
E-mail
Keywords:
Abstract:
Fermions in D=4 self-dual Euclidean Taub-NUT space are investigated.
Dirac-type operators involving Killing-Yano tensors of the Taub-NUT
geometry are explicitly given showing that they anticommute with the
standard Dirac operator and commute with the Hamiltonian as it is
expected. They are connected with the "hidden" symmetries of the space
allowing the construction of a conserved operator analogous to the
Runge-Lenz vector of the Kepler problem. This operator is written down
pointing out its algebraic properties.
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