A Diffusion Equation for Quantum Adiabatic Systems

Sudhir R. Jain

doi:10.1016/S0378-4371(98)00408-7

A Diffusion Equation for Quantum Adiabatic Systems

chao-dyn 2015-06-24 v1 Chaotic Dynamics

Authors: Sudhir R. Jain

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Abstract

For ergodic adiabatic quantum systems, we study the evolution of energy distribution as the system evolves in time. Starting from the von Neumann equation for the density operator, we obtain the quantum analogue of the Smoluchowski equation on coarse-graining over the energy spectrum. This result brings out the precise notion of quantum diffusion.

Keywords

adiabatic quantum mechanics anomalous diffusion boltzmann equation and kinetic theory

Cite

@article{arxiv.chao-dyn/9803034,
  title  = {A Diffusion Equation for Quantum Adiabatic Systems},
  author = {Sudhir R. Jain},
  journal= {arXiv preprint arXiv:chao-dyn/9803034},
  year   = {2015}
}

Comments

15 pages, Latex, no figures

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