Eigenvalues in spectral gaps of differential operators (Q442470)
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scientific article; zbMATH DE number 6064845
| Language | Label | Description | Also known as |
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| English | Eigenvalues in spectral gaps of differential operators |
scientific article; zbMATH DE number 6064845 |
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Eigenvalues in spectral gaps of differential operators (English)
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11 August 2012
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This paper presents a method for calculating eigenvalues in the gaps of self-adjoint operators that avoids spectral pollution. This is done by perturbing the problem into a dissipative problem in which the eigenvalues to be calculated are removed from the convex hull of the essential spectrum. This allows for standard numerical methods to work efficiently. The technique is applied to the one-dimensional Schrödinger equation on the half line.
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spectral pollution
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dissipative
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Schrödinger
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spectral gap
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spectral band
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essential spectrum
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discretization
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variational method
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eigenvalues
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self-adjoint operators
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Schrödinger equation
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