Article citationsMore>>

Tremblay, F. and Winternitz, P. (2010) Third-Order Superintegrable Systems Separating in Polar Coordinates. Journal of Physics A: Mathematical and Theoretical, 43, Article ID: 175206 (17p). http://dx.doi.org/10.1088/1751-8113/43/17/175206

has been cited by the following article:

• TITLE: Degeneration of the Superintegrable System with Potentials Described by the Sixth Painlevé Transcendents

  AUTHORS: Yoshikatsu Sasaki

  KEYWORDS: Superintegrable System, Painlevé Equation, Degeneration

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.11, October 28, 2014

  ABSTRACT: This article concerns the quantum superintegrable system obtained by Tremblay and Winternitz, which allows the separation of variables in polar coordinates and possesses three conserved quantities with the potential described by the sixth Painlevé equation. The degeneration procedure from the sixth Painlvé equation to the fifth one yields another new superintegrable system; however, the Hermitian nature is broken.