Intermediate-statistics quantum bracket, coherent state, oscillator, and representation of angular momentum (su(2)) algebra

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dc.creatorShen, Yao
dc.creatorDai, Wu-Sheng
dc.creatorXie, Mi
dc.date2007-05-16
dc.date.accessioned2026-07-07T11:37:00Z
dc.date.available2026-07-07T11:37:00Z
dc.descriptionIn this paper, we first discuss the general properties of an intermediate-statistics quantum bracket, $[ u,v]_{n}=uv-e^{i2π/(n+1)}vu$, which corresponds to intermediate statistics in which the maximum occupation number of one quantum state is an arbitrary integer, $n$. A further study of the operator realization of intermediate statistics is given. We construct the intermediate-statistics coherent state. An intermediate-statistics oscillator is constructed, which returns to bosonic and fermionic oscillators respectively when $n\to \infty $ and $n=1$. The energy spectrum of such an intermediate-statistics oscillator is calculated. Finally, we discuss the intermediate-statistics representation of angular momentum ($su(2)$) algebra. Moreover, a further study of the operator realization of intermediate statistics is given in the Appendix.
dc.description12 pages, no figures. Revtex
dc.identifierhttps://arxiv.org/abs/0705.2382
dc.identifierhttp://arxiv.org/abs/0705.2382
dc.identifierPhys.Rev.A75:042111,2007
dc.identifierdoi:10.1103/PhysRevA.75.042111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199060
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleIntermediate-statistics quantum bracket, coherent state, oscillator, and representation of angular momentum (su(2)) algebra
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