dorsal/arxiv
View SchemaQuantum Coupled Nonlinear Schr\"odinger System with Different Masses
| Authors | Shigeki Matsutani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9707006 |
| URL | https://arxiv.org/abs/solv-int/9707006 |
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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"abstract": "In this letter, I have considered one-dimensional quantum system with\ndifferent masses $m$ and $M$, which does not appear integrable in general.\nHowever I have found an exact two-body wave function and due to the extension\nof the integrable system to more general system, it was concluded that the\nrapidity or quasi-momentum in the integrable system should be regarded as a\nmodification of velocity rather than that of momentum. I have also considered\nthe three-body wave function and argued its integrable condition.",
"arxiv_id": "solv-int/9707006",
"authors": [
"Shigeki Matsutani"
],
"categories": [
"solv-int",
"nlin.SI"
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"title": "Quantum Coupled Nonlinear Schr\\\"odinger System with Different Masses",
"url": "https://arxiv.org/abs/solv-int/9707006"
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