Spectrum generating quantum group of the harmonic oscillator
Journal Article
·
· International Journal of Modern Physics A; (United States)
- Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics
In this paper, some conceptual problems for the interpretation of osp (1/2) as a spectrum generating algebra for the bosonic harmonic oscillator are resolved using quantum groups. The authors show that in place of the superalgebra osp (1/2) one may work equivalently with its bosonization, bosp (1/2), which the authors introduce. It is a quantum group and provides a purely bosonic spectrum generating algebra for the harmonic oscillator. The construction is extended to include the q-deformed situation also.
- OSTI ID:
- 6991861
- Journal Information:
- International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:18; ISSN IMPAE; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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