Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics
Quantum Physics
2023-06-28 v2
Abstract
In classical physics there is a well-known theorem in which it is established that the energy per degree of freedom is the same. However, in quantum mechanics due to the non-commutativity of some pairs of observables and the possibility of having non-Markovian dynamics, the energy is not equally distributed. We propose a correspondence between what we know about the classical energy equipartition theorem and its possible counterpart in phase-space formulation in quantum mechanics based on the Wigner representation. Also, we show that in the high-temperature regime, the classical result is recovered.
Keywords
Cite
@article{arxiv.2205.12364,
title = {Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics},
author = {Esteban Marulanda and Alejandro Restrepo and Johans Restrepo},
journal= {arXiv preprint arXiv:2205.12364},
year = {2023}
}