Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit (Q1282363)
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scientific article; zbMATH DE number 1271906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit |
scientific article; zbMATH DE number 1271906 |
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Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit (English)
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31 May 1999
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The Wigner-transform techniques are applied to the analysis of difference methods for Schrödinger-type equations in the case of a small Planck constant. In this way, the authors are able to obtain sharp conditions on the spatial-temporal grid which guarantee convergence for average values of observables as the Planck constant lends to zero. Numerical sample computations and interpretations of the theory are given.
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finite difference discretization
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convergence
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numerical examples
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Wigner-transform
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Schrödinger-type equations
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small Planck constant
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0.8914146
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0.8905548
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0.89028734
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0.88760746
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