Quantum Coupled Nonlinear Schrödinger System with Different Masses
Shigeki Matsutani
Abstract
In this letter, I have considered one-dimensional quantum system with different masses m and M, 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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