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Zbl 1032.35063
Dimassi, Mouez; Mnif, Maher
Lower bounds for the counting function of resonances for a perturbation of a periodic Schrödinger operator by decreasing potential. (English)
[J] C. R., Math., Acad. Sci. Paris 335, No.12, 1013-1016 (2002). ISSN 1631-073X

Summary: 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 $W(hx)$ $(h\searrow 0)$. We obtain a lower bound for $N(h)$ near some singularities of the density of states measure, associated to the unperturbed Hamiltonian $P_0$.

MSC 2000:: *35J10 Schroedinger operator
35B34 Resonances
35B20 Perturbations (PDE)

Keywords: edges of bands; band crossing

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