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Resonances for perturbed periodic Schrödinger operator - MaRDI portal

Resonances for perturbed periodic Schrödinger operator (Q666346)

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scientific article; zbMATH DE number 6012977
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Resonances for perturbed periodic Schrödinger operator
scientific article; zbMATH DE number 6012977

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    Resonances for perturbed periodic Schrödinger operator (English)
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    8 March 2012
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    Summary: In the semiclassical regime, we obtain a lower bound for the counting function of resonances corresponding to the perturbed periodic Schrödinger operator \(P(h) = -\Delta + V(x) + W(hx)\), where \(V\) is a periodic potential, \(W\) a decreasing perturbation and \(h\) a small positive constant.
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