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arXiv · 2001.01602

q-Deformation and free statistics for interaction of a field and a particle

S. V. Kozyrev
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Abstract

Emerging of free (or quantum Boltzmann) statistics for a model of quantum particle interacting with quantum field is described in the stochastic limit without dipole approximation. The quantum field is considered in a Gaussian (for example temperature) state. Entangled operators which describe interaction of the field and the particle satisfy the q-deformed relations which in the stochastic limit generate free statistics.

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S. V. Kozyrev. 2020-01-06. q-Deformation and free statistics for interaction of a field and a particle. https://doi.org/10.1134/s1063779620040437

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