Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator

Detalhes bibliográficos
Autor(a) principal: Bertin, M. C.
Data de Publicação: 2020
Outros Autores: Peleteiro, J. R. B., Pimentel, B. M. [UNESP], Ramirez, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s13538-020-00765-8
http://hdl.handle.net/11449/197020
Resumo: In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the construction of dynamical invariants previously proposed by the authors, in which fundamental importance is given to the linear invariants of the oscillator.
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spelling Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic OscillatorDynamical invariantsDissipative systemsQuantum damped oscillatorTime-dependent systemsIn this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the construction of dynamical invariants previously proposed by the authors, in which fundamental importance is given to the linear invariants of the oscillator.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Fed Bahia, Inst Fis, R Barao Jeremoabo S-N, Salvador, BA, BrazilSao Paulo State Univ, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271, Barra Funda, SP, BrazilSao Paulo State Univ, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271, Barra Funda, SP, BrazilCAPES: 001SpringerUniversidade Federal da Bahia (UFBA)Universidade Estadual Paulista (Unesp)Bertin, M. C.Peleteiro, J. R. B.Pimentel, B. M. [UNESP]Ramirez, J. A.2020-12-10T20:03:39Z2020-12-10T20:03:39Z2020-06-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article534-540http://dx.doi.org/10.1007/s13538-020-00765-8Brazilian Journal Of Physics. New York: Springer, v. 50, n. 5, p. 534-540, 2020.0103-9733http://hdl.handle.net/11449/19702010.1007/s13538-020-00765-8WOS:000544532700001Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal Of Physicsinfo:eu-repo/semantics/openAccess2021-10-23T10:18:19Zoai:repositorio.unesp.br:11449/197020Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:48:54.561858Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
title Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
spellingShingle Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
Bertin, M. C.
Dynamical invariants
Dissipative systems
Quantum damped oscillator
Time-dependent systems
title_short Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
title_full Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
title_fullStr Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
title_full_unstemmed Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
title_sort Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
author Bertin, M. C.
author_facet Bertin, M. C.
Peleteiro, J. R. B.
Pimentel, B. M. [UNESP]
Ramirez, J. A.
author_role author
author2 Peleteiro, J. R. B.
Pimentel, B. M. [UNESP]
Ramirez, J. A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Federal da Bahia (UFBA)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Bertin, M. C.
Peleteiro, J. R. B.
Pimentel, B. M. [UNESP]
Ramirez, J. A.
dc.subject.por.fl_str_mv Dynamical invariants
Dissipative systems
Quantum damped oscillator
Time-dependent systems
topic Dynamical invariants
Dissipative systems
Quantum damped oscillator
Time-dependent systems
description In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the construction of dynamical invariants previously proposed by the authors, in which fundamental importance is given to the linear invariants of the oscillator.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T20:03:39Z
2020-12-10T20:03:39Z
2020-06-30
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s13538-020-00765-8
Brazilian Journal Of Physics. New York: Springer, v. 50, n. 5, p. 534-540, 2020.
0103-9733
http://hdl.handle.net/11449/197020
10.1007/s13538-020-00765-8
WOS:000544532700001
url http://dx.doi.org/10.1007/s13538-020-00765-8
http://hdl.handle.net/11449/197020
identifier_str_mv Brazilian Journal Of Physics. New York: Springer, v. 50, n. 5, p. 534-540, 2020.
0103-9733
10.1007/s13538-020-00765-8
WOS:000544532700001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brazilian Journal Of Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 534-540
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129554133286912

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