Quantum models of classical systems

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Hájíek, P.^1

Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern

CH-3012, Switzerland^1

关键词: Classical systems;    Fuzzy models;    Mechanical systems;    Quantum models;    Real motion;    Usual assumptions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012036/pdf
DOI  :  10.1088/1742-6596/626/1/012036

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Quantum statistical methods that are commonly used for the derivation of classical thermodynamic properties are extended to classical mechanical properties. The usual assumption that every real motion of a classical mechanical system is represented by a sharp trajectory is not testable and is replaced by a class of fuzzy models, the so-called maximum entropy (ME) packets. The fuzzier are the compared classical and quantum ME packets, the better seems to be the match between their dynamical trajectories. Classical and quantum models of a stiff rod will be constructed to illustrate the resulting unified quantum theory of thermodynamic and mechanical properties.