0012117v1

related topics
{equation, function, exp}
{operator, operators, space}
{energy, state, states}
{time, decoherence, evolution}
{field, particle, equation}
{information, entropy, channel}

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

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