On the Born-Oppenheimer approximation for excited states of polyatomic Schrödinger operators (Q1196103)
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scientific article; zbMATH DE number 70136
| Language | Label | Description | Also known as |
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| English | On the Born-Oppenheimer approximation for excited states of polyatomic Schrödinger operators |
scientific article; zbMATH DE number 70136 |
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On the Born-Oppenheimer approximation for excited states of polyatomic Schrödinger operators (English)
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10 November 1992
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Let \(h^ 2\) denote the ratio of electronic and nuclear masses, in a polyatomic molecule, then it is shown that under some assumptions of non- degeneracy, certain low-lying energy levels of the system admit asymptotic expansions in powers of \(h\). The author uses the techniques introduced by Klein-Martinez-Seiler-Wang, and generalizes a result of Helffer-Sjöstrand on semiclassical manifold-wells.
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Born-Oppenheimer approximation
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polyatomic molecule
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low-lying energy levels
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asymptotic expansions
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0.88847815990448
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