✦ LIBER ✦

Classical superintegrable SO(p, q) Hamiltonian systems

✍ Scribed by Juan A. Calzada; Mariano A. del Olmo; Miguel A. Rodríguez

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 672 KB
Volume: 23
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(96)00043-5

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✦ Synopsis

A family of superintegrable real Hamiltonian systems exhibiting S O (p, q) symmetry is obtained by symmetry reduction from free SU(p, q) integrable Hamiltonian systems. Among them we find P6schl-Teller potentials. The Hamilton-Jacobi equation is solved in a separable coordinate system in a generic way for the whole family. We also study the projection of the geodesic flow from the complex to the real systems.