Universal fermionization of bosons on permutative representations of the Cuntz algebra O2

被引：6

作者：

Kawamura, Katsunori ^{[1
]}

机构：

[1] Ritsumeikan Univ, Coll Sci & Engn, Shiga 5258577, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 05期

关键词：

algebra; boson systems; fermion systems; CSTAR-ALGEBRAS; ENDOMORPHISMS; BOSONIZATION; SYSTEM; MODEL;

D O I：

10.1063/1.3131688

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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 O-2. As examples, we show fermionizations on the Fock space and the infinite wedge.

引用

页数：9

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