Quantizing Chaplygin Hamiltonizable nonholonomic systems

In this article we develop a quantization procedure for Chaplygin Hamiltonizable nonholonomic systems—mechanical systems subject to non-integrable velocity constraints whose reduced mechanics is Hamiltonian after a suitable time reparametrization—using Poincaré transformations and geometric quantiza...

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Autor principal: Fernandez, Oscar E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9177842/
https://www.ncbi.nlm.nih.gov/pubmed/35676301
http://dx.doi.org/10.1038/s41598-022-13335-6
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author Fernandez, Oscar E.
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description In this article we develop a quantization procedure for Chaplygin Hamiltonizable nonholonomic systems—mechanical systems subject to non-integrable velocity constraints whose reduced mechanics is Hamiltonian after a suitable time reparametrization—using Poincaré transformations and geometric quantization. We illustrate the theory developed through examples and discuss potential applications to the study of the quantum mechanics of nanovehicles.
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spelling pubmed-91778422022-06-10 Quantizing Chaplygin Hamiltonizable nonholonomic systems Fernandez, Oscar E. Sci Rep Article In this article we develop a quantization procedure for Chaplygin Hamiltonizable nonholonomic systems—mechanical systems subject to non-integrable velocity constraints whose reduced mechanics is Hamiltonian after a suitable time reparametrization—using Poincaré transformations and geometric quantization. We illustrate the theory developed through examples and discuss potential applications to the study of the quantum mechanics of nanovehicles. Nature Publishing Group UK 2022-06-08 /pmc/articles/PMC9177842/ /pubmed/35676301 http://dx.doi.org/10.1038/s41598-022-13335-6 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Fernandez, Oscar E.
Quantizing Chaplygin Hamiltonizable nonholonomic systems
title Quantizing Chaplygin Hamiltonizable nonholonomic systems
title_full Quantizing Chaplygin Hamiltonizable nonholonomic systems
title_fullStr Quantizing Chaplygin Hamiltonizable nonholonomic systems
title_full_unstemmed Quantizing Chaplygin Hamiltonizable nonholonomic systems
title_short Quantizing Chaplygin Hamiltonizable nonholonomic systems
title_sort quantizing chaplygin hamiltonizable nonholonomic systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9177842/
https://www.ncbi.nlm.nih.gov/pubmed/35676301
http://dx.doi.org/10.1038/s41598-022-13335-6
work_keys_str_mv AT fernandezoscare quantizingchaplyginhamiltonizablenonholonomicsystems

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