Estudo de Espalhamento em Sistemas Aharonov-Bohm em Espaço Cônico

• Ano de defesa: 2017
• Autor(a) principal: Salem, Vinícius
• Orientador(a): Andrade, Fabiano Manoel de
• Banca de defesa: Ribeiro, Alexandre Dias , Szezech Júnior, José Danilo
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: UNIVERSIDADE ESTADUAL DE PONTA GROSSA
• Programa de Pós-Graduação: Programa de Pós-Graduação em Ciências
• Departamento: Fisica
• País: BR
• Palavras-chave em Português: Efeito Aharonov-Bohm; potenciais eletromagnéticos; espalhamento; topologia cônica; estados ligados
• Palavras-chave em Inglês: Aharonov-Bohm efect; electromagnetic potentials; cattering; conical espace; bound states
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: http://tede2.uepg.br/jspui/handle/prefix/869

In the present work, it is explained in a concise way the Aharonov-Bohm (AB) Efect in the magnetic case. Possible interpretations envolving the phenomena are discussed too, through a carefull review about the theme in literature, in purpose to sumarize the diferent interpretations concerning the possible physical reality of electromagnetic potentials in physics, in special the case of the vector potential, since this work focuses in the magnetic AB eect. Also, the construction and solution of Dirac equation is studied in details for the non-relativistic limit case of an electron possessing anomalous magnetic moment (i.e., g 6=2) in a conical space. For this purpose, the self-adjoint extensions method as developed by Bulla and Gesztesy is used in order to obtain expressions for bound states energies and scattering. The self-adjoint extension parameter obtained in the study of bound states and scattering showed very plausible physical results, consonant with the literature in general, as exposed in detail in chapter four. Finally, it is discussed the role of anomaly of the electron magnetic moment in providing bound states energies, a theme rarely discussed in literature since now.