Representation theory of deformed oscillator algebras
| dc.creator | Quesne, C. | |
| dc.creator | Vansteenkiste, N. | |
| dc.date | 1996-05-28 | |
| dc.date.accessioned | 2026-07-07T09:17:00Z | |
| dc.date.available | 2026-07-07T09:17:00Z | |
| dc.description | The representation theory of deformed oscillator algebras, defined in terms of an arbitrary function of the number operator~$N$, is developed in terms of the eigenvalues of a Casimir operator~$C$. It is shown that according to the nature of the $N$ spectrum, their unitary irreducible representations may fall into one out of four classes, some of which contain bosonic, fermionic or parafermionic Fock-space representations as special cases. The general theory is illustrated by classifying the unitary irreducible representations of the Arik-Coon, Chaturvedi-Srinivasan, and Tamm-Dancoff oscillator algebras, which may be derived from the boson one by the recursive minimal-deformation procedure of Katriel and Quesne. The effects on non-Fock-space representations of the minimal deformation and of the quommutator-commutator transformation, considered in such a procedure, are studied in detail. | |
| dc.description | LaTeX, 16 pages, no figures, to be published in Helv. Phys. Acta | |
| dc.identifier | https://arxiv.org/abs/q-alg/9605041 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9605041 | |
| dc.identifier | Helv.Phys.Acta 69 (1996) 141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153553 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Representation theory of deformed oscillator algebras | |
| dc.type | text |