Representation of the quantum algebra $SU_q(2)$ in the basis with diagonal $"J_x"$ generator

Simple item page
dc.creatorLeznov, A. N.
dc.date1999-08-10
dc.date.accessioned2026-07-07T04:32:55Z
dc.date.available2026-07-07T04:32:55Z
dc.descriptionGenerators of the quantum $SU_q(2)$ algebra are obtained in the explicit form in the basis where the operator $\exp {J_z\over 2} J_x \exp {J_z\over 2}$ is diagonal. It is shown that the solution of this problem is related to the representation theory of the two-dimensional algebra $[s,r]=\tanh t (s^2-r^2+1)$. The relevance of such basis to some problems of quantum optics is discussed.
dc.descriptionLaTeX, 10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9908014
dc.identifierhttp://arxiv.org/abs/math-ph/9908014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58374
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleRepresentation of the quantum algebra $SU_q(2)$ in the basis with diagonal $"J_x"$ generator
dc.typetext

Files

Collections

arXiv