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

作　　者：Hai Zhang 章海(School of Mathematics and Physics,Anqing Normal University,Anqing 246133,China)

机构地区：[1]School of Mathematics and Physics,Anqing Normal University,Anqing 246133,China

出　　处：《Chinese Physics B》2020年第10期96-100,共5页中国物理B（英文版）

基　　金：Project supported in part by the National Natural Science Foundation of China(Grant No.11701009);the Natural Science Research Project of Universities in Anhui,China(Grant No.KJ2017A363);the Natural Science Fund of Anhui Province,China(Grant Nos.1908085MA01 and 1908085MA22).

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.

关 键 词：superintegrable system separation of variables position-dependent mass polar-likecoordinates Jacobi method 

分 类 号：O175[理学—数学]