Shifting Operators in Geometric Quantization

Richard Cushman; Jędrzej Śniatycki

doi:10.3390/axioms9040125

Axioms (Oct 2020)

Shifting Operators in Geometric Quantization

Richard Cushman,
Jędrzej Śniatycki

Affiliations

Richard Cushman: Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, Canada
Jędrzej Śniatycki: Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, Canada

DOI: https://doi.org/10.3390/axioms9040125
Journal volume & issue: Vol. 9, no. 4
p. 125

Abstract

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The original Bohr-Sommerfeld theory of quantization did not give operators of transitions between quantum quantum states. This paper derives these operators, using the first principles of geometric quantization.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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