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Quantum Coupled Nonlinear Schr\"odinger System with Different Masses

solv-int 2008-02-03 v1 可精确求解与可积系统

摘要

In this letter, I have considered one-dimensional quantum system with different masses mm and MM, which does not appear integrable in general. However I have found an exact two-body wave function and due to the extension of the integrable system to more general system, it was concluded that the rapidity or quasi-momentum in the integrable system should be regarded as a modification of velocity rather than that of momentum. I have also considered the three-body wave function and argued its integrable condition.

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引用

@article{arxiv.solv-int/9707006,
  title  = {Quantum Coupled Nonlinear Schr\"odinger System with Different Masses},
  author = {Shigeki Matsutani},
  journal= {arXiv preprint arXiv:solv-int/9707006},
  year   = {2008}
}

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