A Nonlinear Schrödinger Model for Many‐Particle Quantum Systems

Qiang Zhang and Tian Ma

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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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https://doi.org/10.1155/2012/387823

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:387823

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