Magnetic-dipole spin effects in noncommutative quantum mechanics

A general three-dimensional noncommutative quantum mechanical system mixing spatial and spin degrees of freedom is proposed. The analogous of the harmonic oscillator in this description contains a magnetic dipole interaction and the ground state is explicitly computed and we show that it is infinite...

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Detalhes bibliográficos
Autores: Falomir, Horacio, Gamboa, J., López-Sarrión, J., Méndez, F., González Pisani, Pablo Andrés
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2009
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositório:SEDICI (UNLP)
Idioma:inglês
OAI Identifier:oai:sedici.unlp.edu.ar:10915/82769
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/82769
Access Level:Acceso aberto
Palavra-chave:Física
noncommutative quantum mechanical
Bose-Einstein condensation
Descrição
Resumo:A general three-dimensional noncommutative quantum mechanical system mixing spatial and spin degrees of freedom is proposed. The analogous of the harmonic oscillator in this description contains a magnetic dipole interaction and the ground state is explicitly computed and we show that it is infinitely degenerated and implying a spontaneous symmetry breaking. The model can be straightforwardly extended to many particles and the main above properties are retained. Possible applications to the Bose-Einstein condensation with dipole-dipole interactions are briefly discussed.