A nilpotent-group framework provides quasi-exactly solvable polynomial potentials of arbitrary degree, with explicit eigenfunctions and new octic and decatic examples.
Turbiner, Quasiexactly solvable problems and SL(2) group, Commun
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Polynomial potentials and nilpotent groups
A nilpotent-group framework provides quasi-exactly solvable polynomial potentials of arbitrary degree, with explicit eigenfunctions and new octic and decatic examples.