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Semi-classical Asymptotics for the Schrödinger Operator with Oscillating Decaying Potential

Published online by Cambridge University Press:  20 November 2018

Mouez Dimassi
Mouez Dimassi*
Affiliation:
Université Bordeaux I, Institut de Mathématiques de Bordeaux, 351, Cours de la Libération, 33405 Talence, France e-mail: mouez.dimassi@math.u-bordeaux1.fr
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Abstract

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We study the distribution of the discrete spectrumof the Schrödinger operator perturbed by a fast oscillating decaying potential depending on a small parameter $h$.

Keywords

81Q1035P2047A5547N5081Q15periodic Schrödinger operatorsemi-classical asymptoticseffective Hamiltonianasymptotic expansionspectral shift function
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 4 , 01 December 2016 , pp. 734 - 747
Copyright
Copyright © Canadian Mathematical Society 2016

References

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