Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom

Details Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom

2000-12-21

arxiv.org/abs/quant-ph/0012117v1

J.Phys.A34:1129-1140,2001

Physics

Quantum Physics

13 pages, LATEX

Scientific paper

10.1088/0305-4470/34/6/305

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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