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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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/309398 |
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| _version_ | 1850167467952832512 |
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| author | Mouez Dimassi |
| author_facet | Mouez Dimassi |
| author_sort | Mouez Dimassi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d7da3c763cd14932adcb752ab5851dfc |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d7da3c763cd14932adcb752ab5851dfc2025-08-20T02:21:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/309398309398Resonances for Perturbed Periodic Schrödinger OperatorMouez Dimassi0Institut de Mathématiques de Bordeaux, Université Bordeaux 1, 351, Cours de la Libération, 33405 Talence, FranceIn 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.http://dx.doi.org/10.1155/2012/309398 |
| spellingShingle | Mouez Dimassi Resonances for Perturbed Periodic Schrödinger Operator Advances in Mathematical Physics |
| title | Resonances for Perturbed Periodic Schrödinger Operator |
| title_full | Resonances for Perturbed Periodic Schrödinger Operator |
| title_fullStr | Resonances for Perturbed Periodic Schrödinger Operator |
| title_full_unstemmed | Resonances for Perturbed Periodic Schrödinger Operator |
| title_short | Resonances for Perturbed Periodic Schrödinger Operator |
| title_sort | resonances for perturbed periodic schrodinger operator |
| url | http://dx.doi.org/10.1155/2012/309398 |
| work_keys_str_mv | AT mouezdimassi resonancesforperturbedperiodicschrodingeroperator |