q-Deformation and free statistics for interaction of a field and a particle
英文摘要:
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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