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A Nonlinear Schrödinger Model for Many-Particle Quantum Systems

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  • Qiang Zhang
  • Tian Ma

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.

Suggested Citation

  • Qiang Zhang & Tian Ma, 2012. "A Nonlinear Schrödinger Model for Many-Particle Quantum Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, October.
    • Handle: RePEc:hin:jnljam:387823
    DOI: 10.1155/2012/387823
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