A Nonlinear Schrödinger Model for Many-Particle Quantum Systems

Qiang Zhang and Tian Ma

Journal of Applied Mathematics, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:387823

DOI: 10.1155/2012/387823

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