Discrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential

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dc.creatorRozenblum, Grigori
dc.creatorSobolev, Alexander V.
dc.date2007-11-14
dc.date.accessioned2026-07-07T08:42:54Z
dc.date.available2026-07-07T08:42:54Z
dc.descriptionUnder a perturbation by a decaying electric potential, the Landau Hamiltonian acquires some discrete eigenvalues between the Landau levels. We study the perturbation by an "expanding" electric potential $V(t^{-1}x)$, $t>0$, and derive a quasi-classical formula for the counting function of the discrete spectrum as $t\to \infty$.
dc.description22 pages, AMSLaTEX
dc.identifierhttps://arxiv.org/abs/0711.2158
dc.identifierhttp://arxiv.org/abs/0711.2158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142129
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject47F05, 35P20, 58J37
dc.titleDiscrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential
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