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

Abstract

The Schrödinger-type formalism of the Klein-Gordon quantum mechanics is adapted for the case of the $SL(2,\mathbb{R})$ 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.

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

References in corpus (1)

• Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction

Cited by in corpus (4)

• Oscillator quantization of the massive scalar particle dynamics on AdS spacetime
• Canonical quantization of a massive particle on $Ad{S}_3$
• On particle dynamics in AdS_{N+1} space-time
• Building a frame and gauge free formulation of quantum mechanics