The classical limit of a state on the Weyl algebra
Quantum Physics
2018-12-05 v2 Mathematical Physics
math.MP
Abstract
This paper considers states on the Weyl algebra of the canonical commutation relations over the phase space R^{2n}. We show that a state is regular iff its classical limit is a countably additive Borel probability measure on R^{2n}. It follows that one can "reduce" the state space of the Weyl algebra by altering the collection of quantum mechanical observables so that all states are ones whose classical limit is physical.
Keywords
Cite
@article{arxiv.1711.04357,
title = {The classical limit of a state on the Weyl algebra},
author = {Benjamin Feintzeig},
journal= {arXiv preprint arXiv:1711.04357},
year = {2018}
}