On the classical-quantum relation of constants of motion
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Fecha
2018-11
Autores
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Frontiers Media S.A.
Nombre de Curso
Licencia CC
CC BY 4.0
Licencia CC
Resumen
Groenewold-Van Hove theorem suggest that is not always possible to transform classical observables into quantum observables (a process known as quantization) in a way that, for all Hamiltonians, the constants of motion are preserved. The latter is a strong shortcoming for the ultimate goal of quantization, as one would expect that the notion of "constants of motion" is independent of the chosen physical scheme. It has been recently developed an approach to quantization that instead of mapping every classical observable into a quantum observable, it focuses on mapping the constants of motion themselves. In this article we will discuss the relations between classical and quantum theory under the light of this new form of quantization. In particular, we will examine the mapping of a class of operators that generalizes angular momentum where quantization satisfies the usual desirable properties. © 2018 Belmonte and Veloz.
Notas
Indexación Scopus
Palabras clave
Ribbons, Centripetal Force, Curved Surfaces
Citación
Frontiers in Physics Volume 6, Issue NOV13 November 2018 Article number 121
DOI
10.3389/fphy.2018.00121