Remarks on q-ccr relations for |q|>1

被引：7

作者：

Bozejko, Marek ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

NONCOMMUTATIVE HARMONIC ANALYSIS WITH APPLICATIONS TO PROBABILITY | 2007年 / 78卷

关键词：

In paper we give a construction of operators satisfying q-CCR relations for q > 1; A(f)A(*)(g)-A(*)(g)A(f)=q(N)<; f; g; I; and also q-CAR relations for a <-1; B(f)B-*(g)+B-*(g) B(f)=|q|(N) < f; where N is th number operator on a suitable Fock space F-q(H); N-x1 circle times center dot center dot center dot circle times=n(x1)circle times center dot center dot center dot circle times x(n); Some applications to combinatorial problems are also given;

D O I：

10.4064/bc78-0-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：59 / 67

页数：9

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Remarks on q-ccr relations for |q|&gt;1

Remarks on q-ccr relations for |q|>1