Semiclassical analysis of Schrödinger operators with magnetic wells

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We give a survey of some results, mainly obtained by the authors and their collaborators, on spectral properties of the magnetic Schrödinger operators in the semiclassical limit. We focus our discussion on asymptotic behavior of the individual eigenvalues for operators on closed manifolds and existence of gaps in intervals close to the bottom of the spectrum of periodic operators.
17 pages, 2 figures

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Spectral Theory, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/213903

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.5038
 http://arxiv.org/abs/0812.5038

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arXiv