Relativistic quantum mechanics on the SL(2,R) spacetime

Details Relativistic quantum mechanics on the SL(2,R) spacetime Relativistic quantum mechanics on the SL(2,R) spacetime

1996-02-08

arxiv.org/abs/hep-th/9602040v2

J.Math.Phys. 38 (1997) 611-621

Physics

High Energy Physics

High Energy Physics - Theory

version to appear in J. Math. Phys, 12 pages, LaTeX

Scientific paper

10.1063/1.531885

The Schr\"odinger-type formalism of the Klein-Gordon quantum mechanics is
adapted for the case of the $SL(2,\R)$ spacetime. The free particle case is
solved, the results of a recent work are reproduced while all the other,
topologically nontrivial solutions and the antiparticle modes are also found,
and a deeper insight into the physical content of the theory is given.

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