On superintegrable systems with a position-dependent mass in polar-like coordinates?

• 作者: Hai Zhang
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2020,（10）
• 所属期刊栏目: GENERAL
• 页码范围: 119-124
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab9f22

摘要

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.