Pseudo-orthogonal groups and integrable dynamical systems in two dimensions

Abstract

Integrable systems in low dimensions, constructed through the symmetry reduction method, are studied using phase portrait and variable separation techniques. In particular, invariant quantities and explicit periodic solutions are determined. Widely applied models in Physics are shown to appear as particular cases of the method.

32 pages,revtex

References in corpus (1)

• Generalized Morse Potential: Symmetry and Satellite Potentials

Cited by in corpus (7)

• Group Approach to the Quantization of the Pöschl-Teller dynamics
• Intertwining symmetry algebras of quantum superintegrable systems on the hyperboloid
• Polynomial algebras from $su(3)$ and the generic model on the two sphere
• Unusual isospectral factorizations of shape invariant Hamiltonians with Scarf II potential
• Intertwining Symmetry Algebras of Quantum Superintegrable Systems
• Dynamical symmetries for superintegrable quantum systems
• Non-Hermitian superintegrable systems