Relativistic quantum Brownian motion
Roumen Tsekov
TL;DR
This paper introduces a unified relativistic quantum thermodynamic framework for Brownian motion, deriving new equations that incorporate relativistic effects into quantum and thermal dynamics.
Contribution
It proposes a novel Wigner-Klein-Kramers equation and a thermo-quantum Smoluchowski equation that include relativistic corrections to quantum Brownian motion.
Findings
Derived a relativistic quantum Smoluchowski equation.
Analyzed the impact of relativistic effects on quantum Brownian dynamics.
Introduced a dissipative Madelung hydrodynamics approach.
Abstract
A Wigner-Klein-Kramers equation is proposed, which merges relativistic, quantum and thermo dynamics. The relativistic effect on quantum Brownian motion is studied via the Breit-Fermi Hamiltonian applied into a dissipative Madelung hydrodynamics. A new thermo-quantum Smoluchowski equation is derived, which accounts for the relativistic correction of the Bohm quantum potential.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum Mechanics and Applications · Statistical Mechanics and Entropy