Brief introduction to Raman study of charged particles
An analytical development is proposed to determine the solution of the motion equations of a charged particle under the influence of an electric field. In the proposal, the advantages and properties of Laplace's transformation are used to map a system of N second-order non-homogeneous different...
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| Format: | Article |
| Language: | English |
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Universidad Francisco de Paula Santander Ocaña
2023-01-01
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| Series: | Revista Ingenio |
| Subjects: | |
| Online Access: | https://revistas.ufps.edu.co/index.php/ingenio/article/view/3308/3996 |
| _version_ | 1811159321991446528 |
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| author | Cristian Andrés Aguirre Tellez Quesle Martins José José Barba Ortega |
| author_facet | Cristian Andrés Aguirre Tellez Quesle Martins José José Barba Ortega |
| author_sort | Cristian Andrés Aguirre Tellez |
| collection | DOAJ |
| description | An analytical development is proposed to determine the solution of the motion equations of a charged particle under the influence of an electric field. In the proposal, the advantages and properties of Laplace's transformation are used to map a system of N second-order non-homogeneous differential equations into a system composed of N linear equations. From the most general solution for the dynamics of the system, some particular cases were studied to recover, in a simple way, the results present in the literature. To motivate the study, Ehrenfest's theorem is used and we discuss how the classical results can be interpreted in their quantum version. |
| first_indexed | 2024-04-10T05:39:04Z |
| format | Article |
| id | doaj.art-9dea151c544144029a8018823fc1637d |
| institution | Directory Open Access Journal |
| issn | 2011-642X 2389-864X |
| language | English |
| last_indexed | 2024-04-10T05:39:04Z |
| publishDate | 2023-01-01 |
| publisher | Universidad Francisco de Paula Santander Ocaña |
| record_format | Article |
| series | Revista Ingenio |
| spelling | doaj.art-9dea151c544144029a8018823fc1637d2023-03-06T12:59:21ZengUniversidad Francisco de Paula Santander OcañaRevista Ingenio2011-642X2389-864X2023-01-012011710.22463/2011642X.3308Brief introduction to Raman study of charged particlesCristian Andrés Aguirre Tellez0https://orcid.org/0000-0001-8064-6351Quesle Martins1https://orcid.org/0000-0002-1315-2164José José Barba Ortega2https://orcid.org/0000-0003-3415-1811Universidade Federal do rio Grande do Sul, Porto Alegre - BrazilUniversidade Federal de Rondonia, Ji-Paraná - BrasilUniversidad Nacional de Colombia, Bogotá - ColombiaAn analytical development is proposed to determine the solution of the motion equations of a charged particle under the influence of an electric field. In the proposal, the advantages and properties of Laplace's transformation are used to map a system of N second-order non-homogeneous differential equations into a system composed of N linear equations. From the most general solution for the dynamics of the system, some particular cases were studied to recover, in a simple way, the results present in the literature. To motivate the study, Ehrenfest's theorem is used and we discuss how the classical results can be interpreted in their quantum version.https://revistas.ufps.edu.co/index.php/ingenio/article/view/3308/3996classic systemelectromagnetic fieldquantum systemraman spectroscopy |
| spellingShingle | Cristian Andrés Aguirre Tellez Quesle Martins José José Barba Ortega Brief introduction to Raman study of charged particles Revista Ingenio classic system electromagnetic field quantum system raman spectroscopy |
| title | Brief introduction to Raman study of charged particles |
| title_full | Brief introduction to Raman study of charged particles |
| title_fullStr | Brief introduction to Raman study of charged particles |
| title_full_unstemmed | Brief introduction to Raman study of charged particles |
| title_short | Brief introduction to Raman study of charged particles |
| title_sort | brief introduction to raman study of charged particles |
| topic | classic system electromagnetic field quantum system raman spectroscopy |
| url | https://revistas.ufps.edu.co/index.php/ingenio/article/view/3308/3996 |
| work_keys_str_mv | AT cristianandresaguirretellez briefintroductiontoramanstudyofchargedparticles AT queslemartins briefintroductiontoramanstudyofchargedparticles AT josejosebarbaortega briefintroductiontoramanstudyofchargedparticles |