TL;DR
This paper provides a theoretical analysis of quantum friction, deriving a new expression for the friction coefficient applicable at any temperature, and discusses quantum Brownian motion in different environments.
Contribution
It introduces a novel formula for quantum friction coefficient valid at all temperatures and explores quantum Brownian motion in quantum environments.
Findings
Friction coefficient equals de Broglie momentum divided by mean free path at zero temperature.
Mobility is proportional to the square of the mean free path over Planck's constant.
Theoretical description of quantum Brownian motion in quantum environments.
Abstract
The Brownian motion of a light quantum particle in a heavy classical gas is theoretically described and a new expression for the friction coefficient is obtained for arbitrary temperature. At zero temperature it equals to the de Broglie momentum of the mean free path divided by the mean free path. Alternatively, the corresponding mobility of the quantum particle in the classical gas is equal to the square of the mean free path divided by the Planck constant. The Brownian motion of a quantum particle in a quantum environment is also discussed.
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