Mathematical justification of the Aharonov-Bohm hamiltonian

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dc.creatorde Oliveira, Cesar R.
dc.creatorPereira, Marciano
dc.date2008-10-03
dc.date.accessioned2026-07-07T10:07:31Z
dc.date.available2026-07-07T10:07:31Z
dc.descriptionIt is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of increasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigorous limits are in the strong resolvent sense and in both $\R^2$ and $\R^3$ spaces.
dc.descriptionto be published in Journal of Statistical Physics
dc.identifierhttps://arxiv.org/abs/0810.0684
dc.identifierhttp://arxiv.org/abs/0810.0684
dc.identifierdoi:10.1007/s10955-008-9631-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170664
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleMathematical justification of the Aharonov-Bohm hamiltonian
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