Quasi-kinetic quantum equations demonstrate exponential relaxation and diffusion damping in open quantum systems, suggesting new insights into quantum particle behavior.
The Schrödinger and Neumann equations for open quantum systems of the quantum gas type were obtained, these describing their temperature dependence. Then modified Lindblad equations were obtained, describing exponential relaxation and diffusion damping due to slow wandering in the configuration space. The solution of a single exact Neumann equation with terms from the Kolmogorov equation, which describes random motions of quantum particles in momentum space, leads to diffusion damping of spin magnetization signals in momentum space exponentially with time t3/3 and complex oscillations of products of momenta and coordinates.
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Vyacheslav S. Kirchanov (2025) studied this question.
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