相互作用系统中的量子玻尔兹曼统计
Quantum Boltzmann statistics in interacting systems
摘要:
研究了具有离散谱的一般量子系统与量子场相互作用的集体算符。这些算符,被认为是纠缠福克空间(真空上集体创造的作用产生的空间)中的算符,在随机极限下满足一种特殊的量子玻尔兹曼(或自由)交换关系。这阐明了在相互作用系统中量子玻尔兹曼关系出现的普遍现象。
英文摘要:
Collective operators that describe interaction of generic quantum system with discrete spectrum with a quantum field are investigated. These operators, considered as operators in the entangled Fock space (space generated by action of collective creations on the vacuum) in the stochastic limit satisfy a particular kind of Quantum Boltzmann (or free) commutational relations. This clarifies a general phenomenon of arising of Quantum Boltzmann relations in interacting systems.
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