PhilSci Archive

The classical limit of a state on the Weyl algebra

Feintzeig, Benjamin H. (2017) The classical limit of a state on the Weyl algebra. [Preprint]

This is the latest version of this item.

[img]
Preview
Text
Feintzeig_ClassicalLimitWeyl.R1.pdf

Download (259kB) | Preview

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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Feintzeig, Benjamin H.bfeintze@uw.edu
Keywords: algebraic quantum theory, Weyl algebra, regular states, classical limit
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Benjamin Feintzeig
Date Deposited: 16 Mar 2018 16:36
Last Modified: 16 Mar 2018 16:36
Item ID: 14474
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 12 November 2017
URI: https://philsci-archive.pitt.edu/id/eprint/14474

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item