Construction of the Fock-like Space for Quons

作     者：于挺 吴兆颜 

作者机构：Center for Theoretical Physics Jilin University Changchun 130023 PRCCenter for Theoretical Physics Jilin University Changchun 130023 PRC Department of Applied mathematicsJilin University of TechnologyChangchun 130025PRC 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：1994年第37卷第12期

页      面：1472-1483页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0714[理学-统计学（可授理学、经济学学位）] 0704[理学-天文学] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Project supported in part by the National Natural Science Foundation of China 

主　　题：intermediate statistics quon q-limitation relation. 

摘      要：The necessary and sufficient condition of the existence of the Fock-like space for quons with a fixed number q is proven, and the uniqueness theorem of the Fock-like space is given. The general-q operators, which satisfy the q-mutation relation a_ja_k - qa_ka_j =δ_jk, areconstructed by using the q = 0 operators as standard building blocks. The Fock-like spaces for quons with q∈(-1,1) prove to be the same as the one with q = 0, which manifestly is the direct sum of all the tensor product powers of the single particle state subspace, hence allow only the Boltzmann statistics .