A nonlinear Schrödinger model for many-particle quantum systems (Q1952834)
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scientific article; zbMATH DE number 6169898
| Language | Label | Description | Also known as |
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| English | A nonlinear Schrödinger model for many-particle quantum systems |
scientific article; zbMATH DE number 6169898 |
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A nonlinear Schrödinger model for many-particle quantum systems (English)
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3 June 2013
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Summary: Considering both effects of the S-wave scattering and the atom-atom interaction rather than only the effect of the S-wave scattering, we establish a nonlinear Schrödinger model for many-particle quantum systems and we prove the global existence of a solution to the model and obtain the expression of the solution. Furthermore, we show that the Hamilton energy and the total particle number both are conservative quantities.
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