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Perturbation theory for a polyharmonic operator with nonsmooth periodic potential

✍ Scribed by Yu. E. Karpeshina


Publisher
Springer US
Year
1991
Tongue
English
Weight
306 KB
Volume
54
Category
Article
ISSN
1573-8795

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Lower bounds for the counting function o
✍ Mouez Dimassi; Maher Mnif 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 51 KB

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