Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
Date
2006-05-04
Authors
Baklouti, Hamadi
Mnif, Maher
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider a perturbation of a periodic Shrödinger operator P0 by a potential W(hx), (h ↘ 0). We study singularities of the density of states measure and we obtain lower bound for the counting function of resonances.
Description
Keywords
Resonances, Perturbations, Periodic Schrodinger operators
Citation
Baklouti, H., & Mnif, M. (2006). Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators. <i>Electronic Journal of Differential Equations, 2006</i>(60), pp. 1-11.