Quantum eigenstates from classical Gibbs distributions

We discuss how the language of wave functions (state vectors) and associated non-commuting Hermitian operators naturally emerges from classical mechanics by applying the inverse Wigner-Weyl transform to the phase space probability distribution and observables. In this language, the Schr\"odinge...

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Bibliographic Details
Main Author: Pieter W. Claeys, Anatoli Polkovnikov
Format: Article
Language:English
Published: SciPost 2021-01-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.10.1.014