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arXiv:1201.4929 [math-ph]AbstractReferencesReviewsResources

Matrix superpotentials and superintegrable systems for arbitrary spin

A. G. Nikitin

Published 2012-01-24, updated 2014-01-09Version 3

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, J. Phys. A: Math. Theor. 40 (2007) ) include matrix shape invariant potentials classified recently in A. G. Nikitin and Y. Karadzhov, J. Phys. A: 44 (2011) 305204; J. Phys. A: 44 (2011) 445202.

Comments: 15 pages
Journal: J. Phys. A: Math. Theor. 45 (2012) 225205
Categories: math-ph, hep-th, math.MP
Subjects: 81Qxx, 81Rxx
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