Concentration of Bloch eigenstates in the presence of gauge at the semi-classical limit

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dc.creatorWolansky, Gershon
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:44:10Z
dc.date.available2026-07-07T12:44:10Z
dc.descriptionWe prove a concentration result of a Bloch eigenstate in a periodic channel under a constant gauge. In the semi-classical limit $h--> 0$ these eigenstates concentrate near a maximizer of the scalar potential of the associated Schrodinger operator, provided the constant gauge converges to a critical value from above. This is in contrast with the ground states which concentrate for any gauge in this limit near a minimizer of the scalar potential.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0902.3355
dc.identifierhttp://arxiv.org/abs/0902.3355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220676
dc.subjectMathematical Physics
dc.subject35B10, 35B25, 47A10
dc.titleConcentration of Bloch eigenstates in the presence of gauge at the semi-classical limit
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