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：
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页码：59 / 67
页数：9
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