arXiv Open Access 2020

Superintegrable dynamics on $H^2$ generated by coupling the Morse and Rosen-Morse potentials

John Acosta Cezary Gonera

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Abstrak

A Hamiltonian dynamics defined on the two-dimensional hyperbolic plane by coupling the Morse and Rosen-Morse potentials is analyzed. It is demonstrated that orbits of all bounded motions are closed iff the product of the parameter $\tilde a$ of the Morse potential and the square root of the absolute value of the curvature is a rational number. This property of trajectories equivalent to the maximal superintegrability is confirmed by explicit construction of polynomial superconstant of motion.

Topik & Kata Kunci

physics.class-ph math-ph nlin.SI

Penulis (2)

John Acosta

Cezary Gonera

Format Sitasi

APA MLA BibTeX

Acosta, J., Gonera, C. (2020). Superintegrable dynamics on $H^2$ generated by coupling the Morse and Rosen-Morse potentials. https://arxiv.org/abs/2012.08614

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓