Correspondence between the Energy Equipartition Theorem in Classical Mechanics and Its Phase-Space Formulation in Quantum Mechanics

Autor:	Esteban Marulanda, Alejandro Restrepo, Johans Restrepo
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	energy equipartition theorem phase-space quantum mechanics statistical mechanics Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 25, Iss 6, p 939 (2023)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e25060939
Popis:	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 is known as the classical energy equipartition theorem and its counterpart in the phase-space formulation in quantum mechanics based on the Wigner representation. Further, we show that in the high-temperature regime, the classical result is recovered.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cdaef197028c48339bb6ff0ecd7c1ca0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.