Classical Limits of Unbounded Quantities by Strict Quantization
Quantum Physics
2020-12-30 v1 Mathematical Physics
math.MP
Abstract
This paper extends the tools of C*-algebraic strict quantization toward analyzing the classical limits of unbounded quantities in quantum theories. We introduce the approach first in the simple case of finite systems. Then we apply this approach to analyze the classical limits of unbounded quantities in bosonic quantum field theories with particular attention to number operators and Hamiltonians. The methods take classical limits in a representation-independent manner and so allow one to compare quantities appearing in inequivalent Fock space representations.
Cite
@article{arxiv.2010.07264,
title = {Classical Limits of Unbounded Quantities by Strict Quantization},
author = {Thomas L. Browning and Benjamin H. Feintzeig and Robin Gates-Redburg and Jonah Librande and Rory Soiffer},
journal= {arXiv preprint arXiv:2010.07264},
year = {2020}
}