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arXiv 0811.3480math-phmath.MPmath.OA
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Cuntz代数${\cal O}_{2}$置换表示上玻色子的泛费米化

Universal fermionization of bosons on permutative representations of the Cuntz algebra ${\cal O}_{2}$

Katsunori Kawamura

摘要:

玻色子和费米子是用任意置换表示上的Cuntz代数的正则生成元来描述的。我们证明了玻色子的费米子化,它在Cuntz代数${\cal O}_{2}$的任何置换表示上都普遍成立。作为例子,我们显示Fock空间和无限楔形的费米子化。

英文摘要:

Bosons and fermions are described by using canonical generators of Cuntz algebras on any permutative representation. We show a fermionization of bosons which universally holds on any permutative representation of the Cuntz algebra ${\cal O}_{2}$. As examples, we show fermionizations on the Fock space and the infinite wedge.

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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