Noncommutative quantum mechanics

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dc.contributor.authorGamboa, J
dc.contributor.authorMéndez, F
dc.contributor.authorLoewe, M
dc.contributor.authorRojas, JC
dc.date.accessioned2025-01-21T01:30:22Z
dc.date.available2025-01-21T01:30:22Z
dc.date.issued2002
dc.description.abstractQuantum mechanics in a noncommutative plane is considered. For a general two-dimensional central field, we find that the theory can be perturbatively solved for large values of the noncommutative parameter (theta) and explicit expressions for the eigenstates and eigenvalues are given. The Green function is explicitly obtained and we show that it can be expressed as an infinite series. For polynomial type potentials, we found a smooth limit for small values of theta and for nonpolynomial ones this limit is necessarily abrupt. The Landau problem, as a limit case of a noncommutative system, is also considered.
dc.fuente.origenWOS
dc.identifier.eissn1793-656X
dc.identifier.issn0217-751X
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96721
dc.identifier.wosidWOS:000177389200004
dc.issue.numero19
dc.language.isoen
dc.pagina.final2565
dc.pagina.inicio2555
dc.revistaInternational journal of modern physics a
dc.rightsacceso restringido
dc.titleNoncommutative quantum mechanics
dc.typeartículo
dc.volumen17
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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