An involution and dynamics for the $q$-deformed quantum top
| dc.creator | Alekseev, A. Yu. | |
| dc.creator | Faddeev, L. D. | |
| dc.date | 1994-06-29 | |
| dc.date.accessioned | 2026-07-07T11:35:54Z | |
| dc.date.available | 2026-07-07T11:35:54Z | |
| dc.description | It is known that the involution corresponding to the compact form is incompatible with comultiplication for quantum groups at $|q|=1$. In this paper we consider the quantum algebra of functions on the deformed space $T^{*}G_{q}$ which includes both the quantum group and the quantum universal enveloping algebra as subalgebras. For this extended object we construct an anti-involution which reduces to the compact form $*$-operation in the limit $q\rightarrow 1$. The algebra of functions on $T^{*}G_{q}$ endowed with the $*$-operation may be viewed as an algebra of observables of a quantum mechanical system. The most natural interpretation for such a system is a deformation of the quantum symmetric top. We suggest a discrete dynamics for this system which imitates the free motion of the top. | |
| dc.description | Uppsala University preprint UUITP 12/1994, 12 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/hep-th/9406196 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9406196 | |
| dc.identifier | Zap.Nauchn.Semin.200:3-16,1992; J.Math.Sci.77:3137-3145,1995 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198749 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | An involution and dynamics for the $q$-deformed quantum top | |
| dc.type | text |