Proof of quantum mechanical H-theorem beyond binary collisions in quantum gases
Statistical Mechanics
2018-10-15 v3 Quantum Physics
Abstract
We have proved the quantum mechanical H-theorem for dilute Bose and Fermi gases by generalizing the quantum statistical Boltzmann equation for all possible many-body elastic collisions among the particles in the quantum gases within the Lippmann-Schwinger formalism. Previous study by Pauli did almost the same only for binary elastic collisions. We are considering all possible many-body elastic collisions for the current study. Our proof offers a better understanding to the foundation of the second law of thermodynamics for quantum gases.
Keywords
Cite
@article{arxiv.1805.11282,
title = {Proof of quantum mechanical H-theorem beyond binary collisions in quantum gases},
author = {Bandita Das and Shyamal Biswas},
journal= {arXiv preprint arXiv:1805.11282},
year = {2018}
}
Comments
6 pages. Accepted for publication in Journal of Statistical Mechanics: Theory and Experiment