학술논문
ASYMPTOTIC EXPANSION OF THE SPECTRUM FOR PERIODIC SCHRÖDINGER OPERATORS.
Document Type
Article
Source
Subject
*SCHRODINGER operator
*ASYMPTOTIC expansions
*EIGENFUNCTION expansions
*ELLIPTIC operators
*EIGENFUNCTIONS
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Language
ISSN
0036-1410
Abstract
We prove an asymptotic expansion for the eigenvalues and eigenfunctions of Schrödinger-type operator with a confining potential and with the principle part of a periodic elliptic operator in divergence form. We compare the spectrum to the homogenized operator and characterize the corrections up to arbitrarily high order. [ABSTRACT FROM AUTHOR]