Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502809 | Journal of Mathematical Analysis and Applications | 2005 | 23 Pages |
Abstract
This paper is concerned with the spectral properties of the Schrödinger operator Lq=defâd2dx2+q with periodic potential q from the Sobolev space Hâ1(T). We obtain asymptotic formulas and a priori estimates for the periodic and Dirichlet eigenvalues which generalize known results for the case of potentials qâL2(T). The key idea is to reduce the problem to a known one-the spectrum of the impedance operator-via a nonlinear analytic isomorphism between L02(T) and the Sobolev space H0â1(T).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Thomas Kappeler, Peter Topalov,