Chinese Physics B, Volume. 29, Issue 10, (2020)
On superintegrable systems with a position-dependent mass in polar-like coordinates
For a superintegrable system defined in plane polar-like coordinates introduced by Szumiński et al. and studied by Fordy, we show that the system with a position-dependent mass is separable in three distinct coordinate systems. The corresponding separation equations and additional integrals of motion are derived explicitly. The closure algebra of integrals is deduced. We also make a generalization of this system by employing the classical Jacobi method. Lastly a sufficient condition which ensures flatness of the underlying space is derived via explicit calculation.
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Hai Zhang. On superintegrable systems with a position-dependent mass in polar-like coordinates[J]. Chinese Physics B, 2020, 29(10):
Category: General
Received: Mar. 27, 2020
Accepted: --
Published Online: Apr. 21, 2021
The Author Email: Zhang Hai (haizhang@mail.ustc.edu.cn)