Resonances for Perturbed Periodic Schrödinger Operator
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/309398 |