On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains (Q1093878)
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scientific article; zbMATH DE number 4024104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains |
scientific article; zbMATH DE number 4024104 |
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On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains (English)
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1987
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One shows that in the semi-classical regime and under suitable non- trapping conditions on the potential V at energy E of Virial relation type: \(2(V-E)+x\nabla V<0\) the Schrödinger operator \(H-\hslash^ 2\Delta +V\) has no resonances in some complex neighbourhood of E. Some critical values of E like thresholds or barrier tops are also discussed.
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location of resonances
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semi-classical regime
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non-trapping conditions
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Virial relation
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Schrödinger operator
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thresholds or barrier tops
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