Flat coordinates for flat Stäckel systems

Abstract

In this article we explicitely construct transformation bewteen separable and flat coordinates for flat Stäckel systems and exploit the structre of these systems in flat coordinates. In the elliptic case these coordinates become well known generalized elliptical coordinates of Jacobi.

References in corpus (2)

• Natural coordinates for a class of Benenti systems
• Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions

Cited by in corpus (1)

• Classical and Quantum Superintegrability of Stäckel Systems