Relativistic quantum mechanics on the SL(2,{bold R}) space{endash}time

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531885· OSTI ID:463528

Fueloep, T ^[1]

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1. Institute for Theoretical Physics, Eoetvoes University, Budapest (Hungary)

The Schr{umlt o}dinger-type formalism of the Klein{endash}Gordon quantum mechanics is adapted for the case of the SL(2,{bold R}) space{endash}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. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 463528
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONFORMAL GROUPS
IRREDUCIBLE REPRESENTATIONS
KLEIN-GORDON EQUATION
LATTICE FIELD THEORY
LIE GROUPS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SPACE-TIME
STRING MODELS
TOPOLOGY