A Nonlinear Schrödinger Model for Many-Particle Quantum Systems. (22nd October 2012)

• Record Type: Journal Article
• Authors: Zhang, Qiang; Ma, Tian
• Other Names: Govinder K. S. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-10-22
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/387823
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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.