Dinâmica de uma partícula neutra em mecânica quântica não-comulativa e em um regime de quebra da simetria de Lorentz

• Ano de defesa: 2008
• Autor(a) principal: Ribeiro Filho, Lincoln Rodrigues
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraíba; Brasil; Física; Programa de Pós-Graduação em Física; UFPB
• Palavras-chave em Português: Física; Fases topológicas; Fases geomêtricas; Efeito hall quântico; Simetrias de Lorentz; CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/8003

We investigate some non-relativistic quantum phenomena, such topological phases and Landau quantization, in a non-commutative quantum mechanics context and in a Lorentzsymmetry violation regime. We present these e ects considering the quantum mechanics of neutral particles systems submitted to electromagnetic elds. In this sense we use the term \analog of e ect". Under certain conditions to the elds con guration, we can nd quantized energy levels to a system of neutral particles coupled to a electromagnetic eld. Another analog e ects may be obtained if we consider duality transformations, such the Heaviside duality transformations. In the Lorentz-symmetry violation context, we nd some e ects related to the background that controls the breaking of vacuum isotropy. Thus we obtain interesting contributions to the Anandan phase. In the same context, we realize the Landau quantization to neutral particles in a Lorentz-invariance breaking framework. As another way of Lorentz-symmetry violation, we study topological phases for neutral particles systems taking account the non-commutativity of the coordinates of space and phase space. Also we investigate a analog of Landau quantization to neutral particles in the non-commutativity context. Since we have found the wave functions related to the Landau levels, we construct a analog of the quantum Hall e ect to neutral particles submitted to electromagnetic elds. We also consider a analog of quantum Hall e ect in a neutral particle system submitted to Lorentz-symmetry breaking background.