Trigonometric identities, angular Schrödinger equations and a new family of solvable models

Physics – Quantum Physics

Scientific paper

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to appear in Phys. Lett. A

Scientific paper

10.1016/J.PHYSLETA.2004.11.020

Angular parts of certain solvable models are studied. We find that an
extension of this class may be based on suitable trigonometric identities. The
new exactly solvable Hamiltonians are shown to describe interesting two- and
three-particle systems of the generalized Calogero, Wolfes and
Winternitz-Smorodinsky types.

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