Didactic study on classical dynamics of an electrically charged particle under influence of a constant and uniform magnetic field

• Autor(a) principal: Meira Filho, Damião Pedro
• Data de Publicação: 2023
• Outros Autores: Souza, Nayara Rebelo dos Santos, Kamassury, Jorge Kysnney Santos, Ferraz Junior, Ezequias de Souza, Silva, Marcos Patrick Souza, Araújo, Marcos Paulo Rodrigues, Boff, Denilson, Silva, Auristeles de Sousa, de Oliveira, José Luiz Colares
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Revista Veras
• Texto Completo: https://ojs.brazilianjournals.com.br/ojs/index.php/BRJD/article/view/60655
• topic: classical dynamics; magnetic field

The main task of this work is to study, by means of algebraic methods, the influence of a constant and uniform magnetic field on the classical dynamics of an electrically charged particle. In this text, we initially deal with the Lorentz equation in 4-dimensional Minkowski spacetime. Also, the Taylor series expansion of the relativistic factor and its behavior in Galileo's regime of relativity are presented. Finally, the equations of motion of a charged classical particle under the influence of the classical electromagnetic field configuration of the constant magnetic field type in time and uniformly distributed in 3-dimensional space are presented.