A Nonlinear Schrodinger Model for Many-Particle Quantum Systems

被引：2
作者：
Zhang, Qiang [1 ,2 ]
Ma, Tian [2 ]
机构：
[1] Civil Aviat Flight Univ China, Coll Comp Sci, Guanghan 618307, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
BOSE-EINSTEIN CONDENSATION; GROSS-PITAEVSKII EQUATION; NUMERICAL-SOLUTION; GLOBAL EXISTENCE; TRAVELING-WAVES; STABILITY; VORTEX; GAS;
D O I：
10.1155/2012/387823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Schrodinger 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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页数：15
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