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arXiv math-ph/0209067math-phmath.MP
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变形外代数、量子及相关相干态

Deformed exterior algebra, Quons and related Coherent States

M. El Baz, Y. Hassouni

摘要:

我们回顾了外楔积变形的概念。这使我们能够构造向量空间和任意流形上的外形式代数的变形。我们将这种方法与广义统计联系起来。我们研究quons,作为这些广义统计的一个特殊情况。我们也给出了它们的统计性质。很大一部分的工作是致力于构造变形振子的相干态的问题。我们对现有文献中关于这一点的所有方法进行了回顾,并用许多例子加以实施。

英文摘要:

We review the notion of the deformation of the exterior wedge product. This allows us to construct the deformation of the algebra of exterior forms over a vector space and also over an arbitrary manifold. We relate this approach to the generalized statistics. we study quons, as a particular case of these generalized statistics. We also give their statistical properties. A large part of the work is devoted to the problem of constructing coherent states for the deformed oscillators. we give a review of all the approaches existing in the literature concerning this point and enforce it with many examples.

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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