Integrable models with inverse square potential inmaximally symmetric Kähler manifolds
April 23, 2021
In this paper we consider complex version of models with inverse square potential, namely complex Smorodinsky-Winternitz and complex projective Rosochatius models. These models have interesting properties namely they have hidden symmetries. Due to the complex structure models allow to easily introduce interaction with a constant magnetic ﬁeld. Also we provide results for quantization of these models.
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