Matrix superpotentials and superintegrable systems for arbitrary spin

Details Matrix superpotentials and superintegrable systems for arbitrary spin Matrix superpotentials and superintegrable systems for arbitrary spin

2012-01-24

arxiv.org/abs/1201.4929v2

Physics

Mathematical Physics

15 pages

Scientific paper

A countable set of quantum superintegrable systems for arbitrary spin is
solved explicitly using tools of supersymmetric quantum mechanics. It is shown
that these systems (introduced by Pronko) include shape invariant effective
potentials classified recently in Nik1 and Nik2.

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