dorsal/arxiv
View SchemaTwo-particle model with noncommuting operators of coordinates and momenta
| Authors | M. V. Kuzmenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009036 |
| URL | https://arxiv.org/abs/quant-ph/0009036 |
Abstract
A nonrelativistic equation for the system of two interacting particles within the framework of a model with noncommuting operators of coordinates and momenta of different particles is proposed, and a self-consistent system of equations for the wave function of every quantum state is deduced. Solutions for the lowest states of a hydrogenlike atom are found, and the comparison with analogous solutions of the Klein-Gordon equation for the relativistic spinless problem is performed. In the case where the size of a two-particle system and the Compton wavelengths of particles forming it are of the same order, the essential differences with solutions of the Schr\"{o}dinger nonrelativistic equation are revealed.
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"date_created": "2026-03-02T18:01:38.860000Z",
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"abstract": "A nonrelativistic equation for the system of two interacting particles within\nthe framework of a model with noncommuting operators of coordinates and momenta\nof different particles is proposed, and a self-consistent system of equations\nfor the wave function of every quantum state is deduced. Solutions for the\nlowest states of a hydrogenlike atom are found, and the comparison with\nanalogous solutions of the Klein-Gordon equation for the relativistic spinless\nproblem is performed. In the case where the size of a two-particle system and\nthe Compton wavelengths of particles forming it are of the same order, the\nessential differences with solutions of the Schr\\\"{o}dinger nonrelativistic\nequation are revealed.",
"arxiv_id": "quant-ph/0009036",
"authors": [
"M. V. Kuzmenko"
],
"categories": [
"quant-ph"
],
"title": "Two-particle model with noncommuting operators of coordinates and momenta",
"url": "https://arxiv.org/abs/quant-ph/0009036"
},
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"source": {
"execution_id": "4c476a86-c9cb-4fbb-8ae9-f4e616241768",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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