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related topics |
{equation, function, exp} |
{operator, operators, space} |
{energy, state, states} |
{time, decoherence, evolution} |
{field, particle, equation} |
{information, entropy, channel} |
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Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom
F. Cannata, M. Ioffe
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0012117
- categories:
- quant-ph cond-mat hep-th nlin.SI
- comments:
- 13 pages, LATEX
- doi:
- 10.1088/0305-4470/34/6/305
- arxiv_id:
- quant-ph/0012117
- journal_ref:
- J.Phys.A34:1129-1140,2001
- created:
- 2000-12-21
Full article ▸
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