Generalized Anti-Wick Quantum States
Mathematical Physics
2019-07-05 v1 Functional Analysis
math.MP
Quantum Physics
Abstract
The purpose of this Note is to study a simple class of mixed states and the corresponding density operators (matrices). These operators, which we call quite Toeplitz density operators correspond to states obtained from a fixed function ("window") by position-momentum translations, and reduce in the simplest case to the anti-Wick operators considered long ago by Berezin. The rigorous study of Toeplitz operators requires the use of classes of functional spaces defined by Feichtinger.
Cite
@article{arxiv.1907.02471,
title = {Generalized Anti-Wick Quantum States},
author = {Maurice de Gosson},
journal= {arXiv preprint arXiv:1907.02471},
year = {2019}
}