Matrix superpotentials and superintegrable systems for arbitrary spin
classification
🧮 math-ph
hep-thmath.MP
keywords
physsystemsarbitrarymatrixquantumspinsuperintegrableclassified
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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.
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