1997/07/09 by Shigeki Matsutani, Matsutani, Shigeki
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Quantum Information and Cryptography #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9707006
AMS-Tex Use
arxiv created 1997/07/09 · openalex publication_date 1997/07/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.