Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism
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,...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidade Federal de Viçosa (UFV)
2021-10-01
|
| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/13317 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832569691284963328 |
|---|---|
| author | Jorge Kysnney Santos Kamassury Damião Pedro Meira Filho Charles da Rocha Silva João Bosco Soares Pampolha Júnior Robhyson Denys Rodrigues da Silva Asael Ribeiro Pinto |
| author_facet | Jorge Kysnney Santos Kamassury Damião Pedro Meira Filho Charles da Rocha Silva João Bosco Soares Pampolha Júnior Robhyson Denys Rodrigues da Silva Asael Ribeiro Pinto |
| author_sort | Jorge Kysnney Santos Kamassury |
| collection | DOAJ |
| 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.
|
| format | Article |
| id | doaj-art-cd8a70c99247438a8298671d2dd99460 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2021-10-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-cd8a70c99247438a8298671d2dd994602025-02-02T19:56:49ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752021-10-017410.18540/jcecvl7iss4pp13317-01-15eCalculation of the creation and annihilation operators of a free particle in the light cone coordinate formalismJorge Kysnney Santos Kamassury0Damião Pedro Meira Filho1Charles da Rocha Silva2João Bosco Soares Pampolha Júnior3Robhyson Denys Rodrigues da Silva4Asael Ribeiro Pinto5Federal University of Santa CatarinaFederal Institute of Education, Science and Technology of ParáFederal Institute of Education, Science and Technology of ParáFederal Institute of Education, Science and Technology of ParáFederal Institute of Education, Science and Technology of ParáFederal Institute of Education, Science and Technology of Pará 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. https://periodicos.ufv.br/jcec/article/view/13317Coordinates of the cone of light. Quantum OperatorsCreation operatorAnnihilation operatorKlein-Gordon-Fock equation |
| spellingShingle | Jorge Kysnney Santos Kamassury Damião Pedro Meira Filho Charles da Rocha Silva João Bosco Soares Pampolha Júnior Robhyson Denys Rodrigues da Silva Asael Ribeiro Pinto Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism The Journal of Engineering and Exact Sciences Coordinates of the cone of light . Quantum Operators Creation operator Annihilation operator Klein-Gordon-Fock equation |
| title | 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_short | 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 |
| topic | Coordinates of the cone of light . Quantum Operators Creation operator Annihilation operator Klein-Gordon-Fock equation |
| url | https://periodicos.ufv.br/jcec/article/view/13317 |
| work_keys_str_mv | AT jorgekysnneysantoskamassury calculationofthecreationandannihilationoperatorsofafreeparticleinthelightconecoordinateformalism AT damiaopedromeirafilho calculationofthecreationandannihilationoperatorsofafreeparticleinthelightconecoordinateformalism AT charlesdarochasilva calculationofthecreationandannihilationoperatorsofafreeparticleinthelightconecoordinateformalism AT joaoboscosoarespampolhajunior calculationofthecreationandannihilationoperatorsofafreeparticleinthelightconecoordinateformalism AT robhysondenysrodriguesdasilva calculationofthecreationandannihilationoperatorsofafreeparticleinthelightconecoordinateformalism AT asaelribeiropinto calculationofthecreationandannihilationoperatorsofafreeparticleinthelightconecoordinateformalism |