Classical Limits of Unbounded Quantities by Strict Quantization

• URL: http://arxiv.org/abs/2010.07264v1
• Date: Wed, 14 Oct 2020 17:44:51 GMT
• Title: Classical Limits of Unbounded Quantities by Strict Quantization
• Authors: Thomas L. Browning, Benjamin H. Feintzeig, Robin Gates-Redburg, Jonah Librande, and Rory Soiffer
• Abstract summary: We introduce the approach first in the simple case of finite systems. We apply this approach to analyze the classical limits of unbounded quantities in bosonic quantum field theories.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper extends the tools of C*-algebraic strict quantization toward analyzing the classical limits of unbounded quantities in quantum theories. We introduce the approach first in the simple case of finite systems. Then we apply this approach to analyze the classical limits of unbounded quantities in bosonic quantum field theories with particular attention to number operators and Hamiltonians. The methods take classical limits in a representation-independent manner and so allow one to compare quantities appearing in inequivalent Fock space representations.

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