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 ${\cal O}_{2}$
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.
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