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Open Quantum Systems Decoherence

When Canonical Quantization Fails, Here is How to Fix It

arXiv

Authors: John R. Klauder

Year

2016

Paper ID

42531

Status

Preprint

Abstract Read

~2 min

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Abstract

Following Dirac, the rules of canonical quantization include classical and quantum contact transformations of classical and quantum phase space variables. While arbitrary classical canonical coordinate transformations exist that is not the case for some analogous quantum canonical coordinate transformations. This failure is due to the rigid connection of quantum variables arising by promoting the corresponding classical variable from a c-number to a q-number. A different relationship of c-numbers and q-numbers in the procedures of Enhanced Quantization shows the compatibility of all quantum operators with all classical canonical coordinate transformations.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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Following Dirac, the rules of canonical quantization include classical and quantum contact transformations of classical and quantum phase space variables.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.02107 [2] arXiv https://arxiv.org/abs/1611.02107 [3] Publisher https://arxiv.org/abs/1611.02107

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