Comparison theorems for the gap of Schrödinger operators (Q1113017)
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scientific article; zbMATH DE number 4080040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comparison theorems for the gap of Schrödinger operators |
scientific article; zbMATH DE number 4080040 |
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Comparison theorems for the gap of Schrödinger operators (English)
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1987
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The authors try to estimate the gap \(E_ 1-E_ 0\) for the two lowest eigenvalues, in general dimension, of the Schrödinger operator \(-\Delta +V\) under some conditions on V. The basic result is a comparison theorem for the gaps of two Schrödinger operators, with applications to explicit lower bounds of the gap.
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gap
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two lowest eigenvalues
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Schrödinger operator
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comparison
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explicit lower bounds
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0.9158685
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0.90266204
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0.88996375
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