تقرير
Superintegrable dynamics on $H^2$ generated by coupling the Morse and Rosen-Morse potentials
| العنوان: | Superintegrable dynamics on $H^2$ generated by coupling the Morse and Rosen-Morse potentials |
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| المؤلفون: | Acosta, John, Gonera, Cezary |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences Physics (Other) |
| مصطلحات موضوعية: | Physics - Classical Physics, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | 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. Comment: 12 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2012.08614 |
| رقم الأكسشن: | edsarx.2012.08614 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |