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- W2902789165 abstract "We propose a new superintegrable mechanical system on the complex projective space ${mathbb{CP}}^{N}$ involving a potential term together with coupling to a constant magnetic fields. This system can be viewed as a ${mathbb{CP}}^{N}$-analog of both the flat singular oscillator and its spherical analog known as the ``Rosochatius system.'' We find its constants of motion and calculate their (highly nonlinear) algebra. We also present its classical and quantum solutions. The system belongs to the class of ``Kahler oscillators'' admitting $SU(2|1)$ supersymmetric extension. We show that, in the absence of magnetic field and with the special choice of the characteristic parameters, one can construct $mathcal{N}=4,d=1$ Poincar'e supersymmetric extension of the system considered." @default.
- W2902789165 created "2018-12-11" @default.
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- W2902789165 date "2019-04-17" @default.
- W2902789165 modified "2023-10-12" @default.
- W2902789165 title "CPN -Rosochatius system, superintegrability, and supersymmetry" @default.
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- W2902789165 doi "https://doi.org/10.1103/physrevd.99.085007" @default.
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