The eigenvalue sum for a one-dimensional potential (Q1338864)
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scientific article; zbMATH DE number 694954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The eigenvalue sum for a one-dimensional potential |
scientific article; zbMATH DE number 694954 |
Statements
The eigenvalue sum for a one-dimensional potential (English)
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23 November 1994
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This paper is part of a series proving the asymptotic formula announced in [Bull. Am. Math. Soc., New Ser. 23, No. 2, 525-530 (1990; Zbl 0722.35072)] for the ground-state energy of an atom. Our goal here is to give precise estimates for the sum of the negative eigenvalues of an ordinary differential operator \(H= -d^2/dx^2+ V(x)\) on an interval \(I_{\text{BVP}}\).
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asymptotic formula
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ground-state energy of an atom
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estimates for the sum of the negative eigenvalues
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ordinary differential operator
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