superintegrable systems versus Zoll metrics of revolution

24 Feb 2020 Galliano VALENT

Koenigs constructed a family of two dimensional superintegrable (SI) models with one linear and two quadratic integrals in the momenta, shortly (1,2). More recently Matveev and Shevchishin have shown that this construction does generalize to models with one linear and two cubic integrals i.e. $(1,3)$, up to the solution of a non-linear ordinary differential equation... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS