Comment on 'Semiclassical Klein-Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential'

Abstract

The range of validity of the semiclassical Smoluchowski equation derived recently by Coffey et al is discussed. The analysis is based on the quantum Smoluchowski equation derived by the present author before. A quantum generalization of the Einstein law of Brownian motion is also obtained.

References in corpus (4)

• Quantum Brownian Motion With Large Friction
• Spectral and Diffusive Properties of Silver-Mean Quasicrystals in 1,2, and 3 Dimensions
• Anomalous diffusion in quantum Brownian motion with colored noise
• A quantum theory of thermodynamic relaxation

Cited by in corpus (10)

• Quantum Smoluchowski equation: A systematic study
• Quantum Smoluchowski equation for driven systems
• Quantum diffusion
• Nonlinear theory of quantum Brownian motion
• Thermo-quantum diffusion
• Brownian markets
• Towards nonlinear quantum Fokker-Planck equations
• Classical and Quantum Brownian Motion
• Non-Markovian quantum Brownian motion: a non-Hamiltonian approach
• A Nonlinear Master Equation for Open Quantum Systems