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arxiv: 1003.2693 · v8 · pith:AKSWLME5new · submitted 2010-03-13 · 🪐 quant-ph · cond-mat.stat-mech

Relativistic quantum Brownian motion

classification 🪐 quant-ph cond-mat.stat-mech
keywords quantumrelativisticbrownianequationmotionaccountsappliedbohm
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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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