On the eigenvalues for slowly varying perturbations of a periodic Schrödinger operator

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dc.creatorMarx, Magali
dc.date2005-03-12
dc.date.accessioned2026-07-25T22:31:20Z
dc.descriptionIn this paper, I consider one-dimensional periodic Schr{ö}dinger operators perturbed by a slowly decaying potential. In the adiabatic limit, I give an asymptotic expansion of the eigenvalues in the gaps of the periodic operator. When one slides the perturbation along the periodic potential, these eigenvalues oscillate. I compute the exponentially small amplitude of the oscillations.
dc.descriptionsoumis en décembre 2004
dc.identifierhttps://arxiv.org/abs/math-ph/0503031
dc.identifierhttp://arxiv.org/abs/math-ph/0503031
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/89858
dc.subjectMathematical Physics
dc.subject34E05, 34E20, 34L05, 34L40
dc.titleOn the eigenvalues for slowly varying perturbations of a periodic Schrödinger operator
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