https://repositorio.ufba.br/handle/ri/5544
Tipo: | Artigo de Periódico |
Título: | The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
Título(s) alternativo(s): | International Journal of Theoretical Physics |
Autor(es): | Santos, E. S. Melo, Genilson Ribeiro de |
Autor(es): | Santos, E. S. Melo, Genilson Ribeiro de |
Abstract: | We investigate the non-relativistic Schrödinger and Pauli-Dirac oscillators in noncommutative phase space using the five-dimensional Galilean covariant framework. The Schrödinger oscillator presented the correct energy spectrum whose non isotropy is caused by the noncommutativity with an expected similarity between this system and the particle in a magnetic field. A general Hamiltonian for the 3-dimensional Galilean covariant Pauli-Dirac oscillator was obtained and it presents the usual terms that appears in commutative space, like Zeeman effect and spin-orbit terms. We find that the Hamiltonian also possesses terms involving the noncommutative parameters that are related to a type of magnetic moment and an electric dipole moment. |
Palavras-chave: | Galilean covariant formalism Pauli-Dirac oscillator Noncommutative phase space |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/5544 |
Data do documento: | Fev-2011 |
Aparece nas coleções: | Artigo Publicado em Periódico (FIS) |
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