O oscilador de Klein-Gordon (2+1)-D sujeito a interações externas

Detalhes bibliográficos
Ano de defesa: 2016
Autor(a) principal: Cruz Neto, Francisco Alves da lattes
Orientador(a): CASTRO, Luis Rafael Benito
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Maranhão
Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCET
Departamento: DEPARTAMENTO DE FÍSICA/CCET
País: Brasil
Palavras-chave em Português:
Área do conhecimento CNPq:
Link de acesso: http://tedebc.ufma.br:8080/jspui/handle/tede/1557
Resumo: The dynamics of scalar particle spin-zero in a plane has drawn attention recently due to new phenomena such as quantum Hall effect and topological insulators for bosonic systems. We study the dynamics of a particle spin-zero scalar Klein-Gordon an oscillator coupled to a potential mixture of potential nature scalar and vector Cornell type in the (2 + 1) dimensions. Applying the method of separation of variables, the radial equation may be expressed as a Schr¨odinger equation with an effective candidate compound the three-dimensional harmonic oscillator potential Cornell another. Using an appropriate change of variable radial equation can be expressed in terms of the differential equation of second order called biconfluente of Heun. Following proper procedure, that is, correctly applying the boundary conditions, the radial equation solution can be expressed in terms of polynomials Heun. From the boundary conditions the quantization condition is also obtained and show that for this fundamental state problem is defined by the quantum number n = 0 under restrictions of the values of potential parameters. We also analyze the solutions to some particular cases already discussed in the literature. In this context, when we consider the scalar potential of the linear type and vector Coulomb type, the ground state is also defined by the number n = 0 as opposed to what was reported in the literature. We also observed that when we consider only the vector Coulomb interaction type, in this case the ground state is defined by quantum number n = 1, in agreement with other studies reported in the literature.