Derivation of Fokker-Planck equation from Schrodinger dynamics
Quantum Physics
2025-05-30 v1
Abstract
The Fokker_Planck equation can be derived in a consistent manner through a microscopic approach based on a unified scheme of classical and quantum mechanics. Here we shall derive it through a purely quantum mechanical approach based on the reversible Schrodinger dynamics. We also give a brief discussion of the path integral representation of the Fokker_Planck equation in light of our derivation. We conclude that, because of the use of the representation of eigenstates of the time-independent Hamiltonian in our derivation, the thermodynamical entropy in this case must correspond to a coarse-graining of the quantum entropy.
Cite
@article{arxiv.2505.22693,
title = {Derivation of Fokker-Planck equation from Schrodinger dynamics},
author = {Irfan Lone},
journal= {arXiv preprint arXiv:2505.22693},
year = {2025}
}