The operator algebra of the quantum relativistic oscillator
Journal Article
·
· Journal of Mathematical Physics
- The West University of Timisoara, V. Parvan Ave. 4, RO-1900 Timisoara (Romania)
The operator algebras of a new family of relativistic geometric models of the relativistic oscillator [I. I. Cot{breve a}escu, Int. J. Mod. Phys. A {bold 12}, 3545 (1997)] are studied. It is shown that, generally, the operator of number of quanta and the pair of shift operators of each model are the generators of a nonunitary representation of the so(1,2) algebra, except for a special case when this algebra becomes the standard of the nonrelativistic harmonic oscillator. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 544808
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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