The Schrödinger-type formalism of the Klein-Gordon quantum mechanics is adapted for the case of the SL(2,R) space-time. 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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics