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arXiv math-ph/0409042math-phmath.MP
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相干态框架下的扩展Voros积

Extended Voros product in the coherent states framework

M. Daoud

摘要:

利用Weyl-Heisenberg代数$h_N$的相干态,导出了扩展的Voros积和Moyal括号.讨论了Voros积在正则变换下的协方差。还考虑了与李代数$su(1,1)$的Barut-Girardello相干态有关的星积。研究了奇异谐振子的星本征值问题。

英文摘要:

Using coherent states of the Weyl-Heisenberg algebra $h_N$, extended Voros products and Moyal brakets are derived. The covariance of Voros product under canonical transformations is discussed. Star product related to Barut-Girardello coherent states of the Lie algebra $su(1,1)$ is also considered. The star eigenvalue problem of singular harmonic osillator is investigated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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