The operator algebra of the quantum relativistic oscillator

The operator algebra of the quantum relativistic oscillator

The operator algebras of a new family of relativistic geometric models of the relativistic oscillator [I. I. Cotăescu, Int. J. Mod. Phys. A 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...

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Veröffentlicht in:Journal of Mathematical Physics 1997-11, Vol.38 (11), p.5505-5514
Hauptverfasser: Cotaescu, I.I., Draganescu, G.
Format: Artikel
Sprache:eng
Schlagworte:
ALGEBRA
FIELD OPERATORS
HARMONIC OSCILLATORS
PHYSICS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SO GROUPS
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Zusammenfassung:The operator algebras of a new family of relativistic geometric models of the relativistic oscillator [I. I. Cotăescu, Int. J. Mod. Phys. A 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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532148