On the Born-Oppenheimer expansion for polyatomic molecules (Q1189205)
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scientific article; zbMATH DE number 54731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Born-Oppenheimer expansion for polyatomic molecules |
scientific article; zbMATH DE number 54731 |
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On the Born-Oppenheimer expansion for polyatomic molecules (English)
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26 September 1992
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The Schrödinger operator \(P(h)\) for a polyatomic molecule with Coulomb interactions is discussed in the limit where the mass ratio \(h^ 2\) of electronic to nuclear mass tends to zero. Asymptotic expansions of eigenvalues and eigenfunctions of \(P(h)\) are obtained to all orders in \(h\). This justifies the Born-Oppenheimer expansion: \textit{M. Born} and \textit{R. Oppenheimer} [Annal. Phys. 84, 457 ff. (1927)] in the physically relevant case.
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polyatomic molecule
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asymptotic expansions
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Born-Oppenheimer expansion
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