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

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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.

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Item Type:	Preprint
Creators:	Creators Email ORCID 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:	22 Nov 2017 16:24
Last Modified:	22 Nov 2017 16:24
Item ID:	14135
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	12 November 2017
URI:	https://philsci-archive.pitt.edu/id/eprint/14135

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• The classical limit of a state on the Weyl algebra. (deposited 22 Nov 2017 16:24) [Currently Displayed]
  • The classical limit of a state on the Weyl algebra. (deposited 16 Mar 2018 16:36)

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