Cargando…

A Smooth Path between the Classical Realm and the Quantum Realm

A simple example of classical physics may be defined as classical variables, p and q, and quantum physics may be defined as quantum operators, P and Q. The classical world of [Formula: see text] , as it is currently understood, is truly disconnected from the quantum world, as it is currently underst...

Descripción completa

Detalles Bibliográficos
Autor principal: Klauder, John R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700383/
https://www.ncbi.nlm.nih.gov/pubmed/34945995
http://dx.doi.org/10.3390/e23121689
_version_ 1784620743855702016
author Klauder, John R.
author_facet Klauder, John R.
author_sort Klauder, John R.
collection PubMed
description A simple example of classical physics may be defined as classical variables, p and q, and quantum physics may be defined as quantum operators, P and Q. The classical world of [Formula: see text] , as it is currently understood, is truly disconnected from the quantum world, as it is currently understood. The process of quantization, for which there are several procedures, aims to promote a classical issue into a related quantum issue. In order to retain their physical connection, it becomes critical as to how to promote specific classical variables to associated specific quantum variables. This paper, which also serves as a review paper, leads the reader toward specific, but natural, procedures that promise to ensure that the classical and quantum choices are guaranteed a proper physical connection. Moreover, parallel procedures for fields, and even gravity, that connect classical and quantum physical regimes, will be introduced.
format Online
Article
Text
id pubmed-8700383
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-87003832021-12-24 A Smooth Path between the Classical Realm and the Quantum Realm Klauder, John R. Entropy (Basel) Article A simple example of classical physics may be defined as classical variables, p and q, and quantum physics may be defined as quantum operators, P and Q. The classical world of [Formula: see text] , as it is currently understood, is truly disconnected from the quantum world, as it is currently understood. The process of quantization, for which there are several procedures, aims to promote a classical issue into a related quantum issue. In order to retain their physical connection, it becomes critical as to how to promote specific classical variables to associated specific quantum variables. This paper, which also serves as a review paper, leads the reader toward specific, but natural, procedures that promise to ensure that the classical and quantum choices are guaranteed a proper physical connection. Moreover, parallel procedures for fields, and even gravity, that connect classical and quantum physical regimes, will be introduced. MDPI 2021-12-16 /pmc/articles/PMC8700383/ /pubmed/34945995 http://dx.doi.org/10.3390/e23121689 Text en © 2021 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Klauder, John R.
A Smooth Path between the Classical Realm and the Quantum Realm
title A Smooth Path between the Classical Realm and the Quantum Realm
title_full A Smooth Path between the Classical Realm and the Quantum Realm
title_fullStr A Smooth Path between the Classical Realm and the Quantum Realm
title_full_unstemmed A Smooth Path between the Classical Realm and the Quantum Realm
title_short A Smooth Path between the Classical Realm and the Quantum Realm
title_sort smooth path between the classical realm and the quantum realm
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700383/
https://www.ncbi.nlm.nih.gov/pubmed/34945995
http://dx.doi.org/10.3390/e23121689
work_keys_str_mv AT klauderjohnr asmoothpathbetweentheclassicalrealmandthequantumrealm
AT klauderjohnr smoothpathbetweentheclassicalrealmandthequantumrealm