A diffusion equation for quantum adiabatic systems

Sudhir R. Jain

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 1, 192-203

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: Diffusion equation; Quantum adiabatic system; von Neumann equation; Smoluchowski equation (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:1:p:192-203

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

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