A Nonlinear Schrödinger Model for Many-Particle Quantum Systems
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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/387823 |
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doaj-02e1a90cf21c4acd9ade135dd8cb687e2020-11-24T22:34:18ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/387823387823A Nonlinear Schrödinger Model for Many-Particle Quantum SystemsQiang Zhang0Tian Ma1College of Computer Science, Civil Aviation Flight University of China, Guanghan 618307, ChinaDepartment of Mathematics, Sichuan University, Chengdu 610064, ChinaConsidering 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.http://dx.doi.org/10.1155/2012/387823 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Qiang Zhang Tian Ma |
| spellingShingle |
Qiang Zhang Tian Ma A Nonlinear Schrödinger Model for Many-Particle Quantum Systems Journal of Applied Mathematics |
| author_facet |
Qiang Zhang Tian Ma |
| author_sort |
Qiang Zhang |
| title |
A Nonlinear Schrödinger Model for Many-Particle Quantum Systems |
| title_short |
A Nonlinear Schrödinger Model for Many-Particle Quantum Systems |
| title_full |
A Nonlinear Schrödinger Model for Many-Particle Quantum Systems |
| title_fullStr |
A Nonlinear Schrödinger Model for Many-Particle Quantum Systems |
| title_full_unstemmed |
A Nonlinear Schrödinger Model for Many-Particle Quantum Systems |
| title_sort |
nonlinear schrödinger model for many-particle quantum systems |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2012-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2012/387823 |
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