The Phase Space Model of Nonrelativistic Quantum Mechanics.

Autor: Tosiek J; Institute of Physics, Łódź University of Technology, 90-924 Łódź, Poland., Przanowski M; Institute of Physics, Łódź University of Technology, 90-924 Łódź, Poland.
Jazyk: angličtina
Zdroj: Entropy (Basel, Switzerland) [Entropy (Basel)] 2021 May 08; Vol. 23 (5). Date of Electronic Publication: 2021 May 08.
DOI: 10.3390/e23050581
Abstrakt: We focus on several questions arising during the modelling of quantum systems on a phase space. First, we discuss the choice of phase space and its structure. We include an interesting case of discrete phase space. Then, we introduce the respective algebras of functions containing quantum observables. We also consider the possibility of performing strict calculations and indicate cases where only formal considerations can be performed. We analyse alternative realisations of strict and formal calculi, which are determined by different kernels. Finally, two classes of Wigner functions as representations of states are investigated.
Databáze: MEDLINE