A nilpotent-group framework provides quasi-exactly solvable polynomial potentials of arbitrary degree, with explicit eigenfunctions and new octic and decatic examples.
Ushveridze, Quasi-Exactly Solvable Models in Quantum Mechanics, Taylor & Francis, New York, 1994
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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.