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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv

Authors: Yao Shen, Wu-Sheng Dai, Mi Xie

Year

2007

Paper ID

50274

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

In 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→ 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.

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In 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0705.2382 [2] arXiv https://arxiv.org/abs/0705.2382 [3] Publisher https://arxiv.org/abs/0705.2382

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