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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...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2021
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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 |
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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 |
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