Lower bounds for the counting function of resonances for a perturbation of a periodic Schrödinger operator by decreasing potential

✍ Scribed by Mouez Dimassi; Maher Mnif

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 51 KB
• Volume: 335
• Category: Article
• ISSN: 1631-073X
• DOI: 10.1016/s1631-073x(02)02600-6

✦ Synopsis

We are interested here in the counting function of resonances N(h) for a perturbation of a periodic Schrödinger operator P 0 by decreasing potential W (hx) (h 0). We obtain a lower bound for N(h) near some singularities of the density of states measure, associated to the unperturbed Hamiltonian P 0 . To cite this article: M.