Feintzeig, Benjamin H. (2017) The classical limit of a state on the Weyl algebra. [Preprint]
|
Text
Feintzeig_ClassicalLimitWeylAlgebra11_12_17.pdf Download (247kB) | 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: |
| Item Type: | Preprint | ||||||
|---|---|---|---|---|---|---|---|
| Creators: |
|
||||||
| Keywords: | algebraic quantum theory, Weyl algebra, regular states, classical limit | ||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics | ||||||
| Depositing User: | Benjamin Feintzeig | ||||||
| Date Deposited: | 13 Nov 2017 14:11 | ||||||
| Last Modified: | 13 Nov 2017 14:11 | ||||||
| Item ID: | 14118 | ||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics | ||||||
| Date: | 12 November 2017 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/14118 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}