تقرير
Rotations and integrability
| العنوان: | Rotations and integrability |
|---|---|
| المؤلفون: | Tsiganov, A. V. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, Mathematics - Dynamical Systems |
| الوصف: | We discuss some families of integrable and superintegrable systems in $n$-dimensional Euclidean space which are invariant to $m\geq n-2$ rotations. The integrable invariant Hamiltonian $H=\sum p_i^2+V(q)$ commutes with $n-2$ integrals of motion $M_\alpha $ and an additional integral of motion $G$, which are polynomials of first and fourth-order in momenta, respectively. Comment: 16 pages, LaTeX with AMS fonts, examples with reducible but unreduced rotations have been removed |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.12370 |
| رقم الأكسشن: | edsarx.2305.12370 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |