Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418204 | Journal of Mathematical Analysis and Applications | 2015 | 12 Pages |
Abstract
In this paper we investigate the one-dimensional Schrodinger operator L(q) with complex-valued periodic potential q when qâL1[0,1] and qn=0 for n=0,â1,â2,..., where qn are the Fourier coefficients of q with respect to the system {ei2Ïnx}. We prove that the Bloch eigenvalues are (2Ïn+t)2 for nâZ, tâC and find explicit formulas for the Bloch functions. Then we consider the inverse problem for this operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
O.A. Veliev,