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Open Quantum Systems Decoherence
The classical limit of a state on the Weyl algebra
arXiv
Authors: Benjamin Feintzeig
Year
2017
Paper ID
25149
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
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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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- This paper considers states on the Weyl algebra of the canonical commutation relations over the phase space R^2n.
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