Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
Autor(a) principal: | |
---|---|
Data de Publicação: | 2020 |
Outros Autores: | , , |
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. |
id |
UNSP_e9bef417d00ac9c358e351c6e766bc0a |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/197020 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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 |