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Reconstruction of the function of the rotation number for the Schrödinger operator with almost-periodic potential from a countable set of polynomial invariance laws

✍ Scribed by M. V. Novitskii


Publisher
Springer US
Year
1986
Tongue
English
Weight
256 KB
Volume
19
Category
Article
ISSN
0016-2663

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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