Superintegrable systems related to truncated Calogero model
April 23, 2021
A simple $U(1)$ gauge transformation, which is equivalent to the inclusion of the Aharonov-Bohm type potential, is introduced and applied to superintegrable systems in classical and quantum mechanics.
It produces an inverse-square potential with two- and three-particle interactions which is identical to the potential of the recently studied truncated Calogero model.
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