A comparison of different propagation schemes for the time dependent Schrödinger equation (Q808205)
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scientific article; zbMATH DE number 4209534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison of different propagation schemes for the time dependent Schrödinger equation |
scientific article; zbMATH DE number 4209534 |
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A comparison of different propagation schemes for the time dependent Schrödinger equation (English)
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1991
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A comparison of three widely used time propagation algorithms for the time-dependent Schrödinger equation is presented. A typical evolution problem is chosen to demonstrate the efficiency and accuracy of the various methods on a numerical grid using a spatial representation for scattering and bound state evolution. A new method is also introduced which is based upon a low-order Lanczos technique. This method appears to offer an accurate and flexible alternative to the existing algorithms.
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comparison
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time propagation algorithms
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time-dependent Schrödinger equation
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evolution problem
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numerical grid
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scattering
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low-order Lanczos technique
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