Nonlinear transformation group of CAR fermion algebra

被引：9

作者：

Abe, M ^{[1
]}

Kawamura, K ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2002年 / 60卷 / 02期

关键词：

automorphism; CAR; Cuntz algebra; nonlinear transformation;

D O I：

10.1023/A:1016114322568

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on our previous work on the recursive fermion system in the Cuntz algebra, it is shown that a nonlinear transformation group of the CAR fermion algebra is induced from a U(2(p)) action on the Cuntz algebra O-2p with an arbitrary positive integer p. In general, these nonlinear transformations are expressed in terms of finite polynomials in generators. Some Bogoliubov transformations are involved as special cases.

引用

页码：101 / 107

页数：7