Resonances for Perturbed Periodic Schrödinger Operator

Mouez Dimassi

Advances in Mathematical Physics, 2012, vol. 2012, issue 1

Abstract: In the semiclassical regime, we obtain a lower bound for the counting function of resonances corresponding to the perturbed periodic Schrödinger operator P(h) = −Δ+V(x) + W(hx). Here V is a periodic potential, W a decreasing perturbation and h a small positive constant.

Date: 2012
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https://doi.org/10.1155/2012/309398

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2012:y:2012:i:1:n:309398

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