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Quantum Boltzmann statistics in interacting systems

Luigi Accardi·Sergei Kozyrev
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Abstract

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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Luigi Accardi, Sergei Kozyrev. 2001-05-03. Quantum Boltzmann statistics in interacting systems. https://arxiv.org/abs/quant-ph/0105009

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