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arXiv quant-ph/0401126quant-phmath.CO
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单参数群与组合物理

One-parameter groups and combinatorial physics

Gerard Duchamp, Karol A. Penson, Allan I. Solomon, Andrej Horzela, Pawel Blasiak

摘要:

在这篇文章中,我们考虑形式为(a*^r a*^s)的元素和的正规序,其中a* 和a是玻色子产生和湮灭算符。我们讨论了相关的单参数群及其组合副产品的整合。特别是,我们展示了如何这些群体可以实现为取代与prefunctions组。

英文摘要:

In this communication, we consider the normal ordering of sums of elements of the form (a*^r a a*^s), where a* and a are boson creation and annihilation operators. We discuss the integration of the associated one-parameter groups and their combinatorial by-products. In particular, we show how these groups can be realized as groups of substitutions with prefunctions.

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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