Otro
The Schrodinger and Pauli-Dirac Oscillators in Noncommutative Phase Space
Registro en:
International Journal of Theoretical Physics. New York: Springer/plenum Publishers, v. 50, n. 2, p. 332-338, 2011.
0020-7748
10.1007/s10773-010-0529-5
WOS:000286118900003
Autor
Santos, E. S.
de Melo, G. R.
Resumen
We investigate the non-relativistic Schrodinger and Pauli-Dirac oscillators in noncommutative phase space using the five-dimensional Galilean covariant framework. The Schrodinger 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. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)