dorsal/arxiv
View SchemaExactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom
| Authors | F. Cannata, M. Ioffe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012117 |
| URL | https://arxiv.org/abs/quant-ph/0012117 |
| DOI | 10.1088/0305-4470/34/6/305 |
| Journal | J.Phys.A34:1129-1140,2001 |
Abstract
The approach of multi-dimensional SUSY Quantum Mechanics is used in an explicit construction of exactly solvable 3-body (and quasi-exactly-solvable $N$-body) matrix problems on a line. From intertwining relations with time-dependent operators, we build exactly solvable non-stationary scalar and $2\times 2$ matrix 3-body models which are time-dependent extensions of the Calogero model. Finally, we investigate the invariant operators associated to these systems.
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"abstract": "The approach of multi-dimensional SUSY Quantum Mechanics is used in an\nexplicit construction of exactly solvable 3-body (and quasi-exactly-solvable\n$N$-body) matrix problems on a line. From intertwining relations with\ntime-dependent operators, we build exactly solvable non-stationary scalar and\n$2\\times 2$ matrix 3-body models which are time-dependent extensions of the\nCalogero model. Finally, we investigate the invariant operators associated to\nthese systems.",
"arxiv_id": "quant-ph/0012117",
"authors": [
"F. Cannata",
"M. Ioffe"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th",
"nlin.SI"
],
"doi": "10.1088/0305-4470/34/6/305",
"journal_ref": "J.Phys.A34:1129-1140,2001",
"title": "Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom",
"url": "https://arxiv.org/abs/quant-ph/0012117"
},
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