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双模Fock空间中若干新的算符恒等式
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作者 井思聪 范洪义 《科学通报》 EI CAS CSCD 北大核心 1993年第7期606-609,共4页
双模Fock空间是量子力学中研究许多物理系统与状态的粒子数表象的希尔伯特空间。本文将给出此空间中若干新的算符恒等式,这些关系对于证明双模Fock空间中的一类完备性关系十分有用。设a(a^+),b(b^+)代表双模谐振子消灭(产生)算符,满足... 双模Fock空间是量子力学中研究许多物理系统与状态的粒子数表象的希尔伯特空间。本文将给出此空间中若干新的算符恒等式,这些关系对于证明双模Fock空间中的一类完备性关系十分有用。设a(a^+),b(b^+)代表双模谐振子消灭(产生)算符,满足如下对易关系: [a,a^+]=[b,b^+]=1,[a,b]=[a,b^+]=0 (1)相应的粒子数算符是N_a=a^+a与N_b=b^+b。 展开更多
关键词 算符恒等式 双模fock空间 量子力学
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New Two-Mode Coherent-Intermediate-Entangled State and Its Squeezing Operator
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作者 XU Shi-Min XU Xing-Lei LI Hong-Qi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第11期808-812,共5页
The coherent-intermediate-entangled state |α, x)λ,v is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α, x)λ,v makes up a new quantum mechan... The coherent-intermediate-entangled state |α, x)λ,v is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α, x)λ,v makes up a new quantum mechanical representation, and the completeness relation of |α, x)λ,v is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α, x)λ,v and the Schmidt decomposition of |α, x)λ,v is investigated. 展开更多
关键词 bipartite coherent-intermediate-entangled state IWOP technique classical transformation
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