Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism

Detalhes bibliográficos
Autor(a) principal: Kamassury, Jorge Kysnney Santos
Data de Publicação: 2021
Outros Autores: Meira Filho, Damião Pedro, Silva, Charles da Rocha, Pampolha Júnior, João Bosco Soares, Silva, Robhyson Denys Rodrigues da, Pinto, Asael Ribeiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: The Journal of Engineering and Exact Sciences
Texto Completo: https://periodicos.ufv.br/jcec/article/view/13317
Resumo: This work didactically presents the mathematical procedures required for the construction of the creation and annihilation operators for a free quantum particle considering the coordinates of the light cone. For that, the relationships between the aforementioned coordinates and the coordinates (ct, x, y, z) are listed, in addition to the use of the Klein-Gordon-Fock equation in the formalism of the light cone coordinates. Finally, the temporal evolution operator and the quantum operators of creation and annihilation of the integral type of motion are obtained.
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spelling Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalismCálculo de los operadores de creación y aniquilación de una partícula libre en el formalismo de coordenadas del cono de luz.Cálculo de los operadores de creación y aniquilación de una partícula libre en el formalismo de coordenadas del cono de luz.Cálculo dos operadores de criação e aniquilação de uma partícula livre no formalismo das coordenadas do cone luzCoordinates of the cone of light. Quantum OperatorsCreation operatorAnnihilation operatorKlein-Gordon-Fock equationCoordenadas do cone de luzOperadores quânticosOperador de criaçãoOperador de aniquilaçãoEquação de Klein-Gordon-FockThis work didactically presents the mathematical procedures required for the construction of the creation and annihilation operators for a free quantum particle considering the coordinates of the light cone. For that, the relationships between the aforementioned coordinates and the coordinates (ct, x, y, z) are listed, in addition to the use of the Klein-Gordon-Fock equation in the formalism of the light cone coordinates. Finally, the temporal evolution operator and the quantum operators of creation and annihilation of the integral type of motion are obtained.Este trabajo presenta didácticamente los procedimientos matemáticos necesarios para la construcción de los operadores de creación y aniquilación de una partícula cuántica libre considerando las coordenadas del cono de luz. Para ello se enumeran las relaciones entre las coordenadas antes mencionadas y las coordenadas (????????, ????, ????, ????), además del uso de la ecuación de Klein-Gordon-Fock en el formalismo de las coordenadas del cono de luz. Finalmente, se obtienen el operador de evolución temporal y los operadores cuánticos de creación y aniquilación del tipo integral de movimiento.Este trabalho apresenta didaticamente os trâmites matemáticos exigidos para a construção dos operadores de criação e aniquilação para uma partícula quântica livre considerando as coordenadas do cone de luz. Para tanto, são elencadas as relações entre as coordenadas supracitadas e as coordenadas (ct, x, y, z), além do uso da equação de Klein-Gordon-Fock no formalismo das coordenadas do cone de luz. Por fim, obtêm-se o operador evolução temporal e os operadores quânticos de criação e de aniquilação do tipo integral de movimento.Universidade Federal de Viçosa - UFV2021-10-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1331710.18540/jcecvl7iss4pp13317-01-15eThe Journal of Engineering and Exact Sciences; Vol. 7 No. 4 (2021); 13317-01-15eThe Journal of Engineering and Exact Sciences; Vol. 7 Núm. 4 (2021); 13317-01-15eThe Journal of Engineering and Exact Sciences; v. 7 n. 4 (2021); 13317-01-15e2527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/13317/6937Copyright (c) 2021 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessKamassury, Jorge Kysnney SantosMeira Filho, Damião PedroSilva, Charles da RochaPampolha Júnior, João Bosco Soares Silva, Robhyson Denys Rodrigues daPinto, Asael Ribeiro 2021-12-16T18:51:58Zoai:ojs.periodicos.ufv.br:article/13317Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2021-12-16T18:51:58The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
Cálculo de los operadores de creación y aniquilación de una partícula libre en el formalismo de coordenadas del cono de luz.Cálculo de los operadores de creación y aniquilación de una partícula libre en el formalismo de coordenadas del cono de luz.
Cálculo dos operadores de criação e aniquilação de uma partícula livre no formalismo das coordenadas do cone luz
title Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
spellingShingle Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
Kamassury, Jorge Kysnney Santos
Coordinates of the cone of light
. Quantum Operators
Creation operator
Annihilation operator
Klein-Gordon-Fock equation
Coordenadas do cone de luz
Operadores quânticos
Operador de criação
Operador de aniquilação
Equação de Klein-Gordon-Fock
title_short Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
title_full Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
title_fullStr Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
title_full_unstemmed Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
title_sort Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
author Kamassury, Jorge Kysnney Santos
author_facet Kamassury, Jorge Kysnney Santos
Meira Filho, Damião Pedro
Silva, Charles da Rocha
Pampolha Júnior, João Bosco Soares
Silva, Robhyson Denys Rodrigues da
Pinto, Asael Ribeiro
author_role author
author2 Meira Filho, Damião Pedro
Silva, Charles da Rocha
Pampolha Júnior, João Bosco Soares
Silva, Robhyson Denys Rodrigues da
Pinto, Asael Ribeiro
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Kamassury, Jorge Kysnney Santos
Meira Filho, Damião Pedro
Silva, Charles da Rocha
Pampolha Júnior, João Bosco Soares
Silva, Robhyson Denys Rodrigues da
Pinto, Asael Ribeiro
dc.subject.por.fl_str_mv Coordinates of the cone of light
. Quantum Operators
Creation operator
Annihilation operator
Klein-Gordon-Fock equation
Coordenadas do cone de luz
Operadores quânticos
Operador de criação
Operador de aniquilação
Equação de Klein-Gordon-Fock
topic Coordinates of the cone of light
. Quantum Operators
Creation operator
Annihilation operator
Klein-Gordon-Fock equation
Coordenadas do cone de luz
Operadores quânticos
Operador de criação
Operador de aniquilação
Equação de Klein-Gordon-Fock
description This work didactically presents the mathematical procedures required for the construction of the creation and annihilation operators for a free quantum particle considering the coordinates of the light cone. For that, the relationships between the aforementioned coordinates and the coordinates (ct, x, y, z) are listed, in addition to the use of the Klein-Gordon-Fock equation in the formalism of the light cone coordinates. Finally, the temporal evolution operator and the quantum operators of creation and annihilation of the integral type of motion are obtained.
publishDate 2021
dc.date.none.fl_str_mv 2021-10-19
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/13317
10.18540/jcecvl7iss4pp13317-01-15e
url https://periodicos.ufv.br/jcec/article/view/13317
identifier_str_mv 10.18540/jcecvl7iss4pp13317-01-15e
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/13317/6937
dc.rights.driver.fl_str_mv Copyright (c) 2021 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 7 No. 4 (2021); 13317-01-15e
The Journal of Engineering and Exact Sciences; Vol. 7 Núm. 4 (2021); 13317-01-15e
The Journal of Engineering and Exact Sciences; v. 7 n. 4 (2021); 13317-01-15e
2527-1075
reponame:The Journal of Engineering and Exact Sciences
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str The Journal of Engineering and Exact Sciences
collection The Journal of Engineering and Exact Sciences
repository.name.fl_str_mv The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv
_version_ 1798313321930162176

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