تقرير
Second order Killing tensors related to symmetric spaces
| العنوان: | Second order Killing tensors related to symmetric spaces |
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| المؤلفون: | Porubov, E. O., 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 the pairs of quadratic integrals of motion belonging to the $n$-dimensional space of independent integrals of motion in involution, that provide integrability of the corresponding Hamiltonian equations of motion by quadratures. In contrast to the Eisenhart theory, additional integrals of motion are polynomials of the fourth, sixth and other orders in momenta. The main focus is on the second-order Killing tensors corresponding to quadratic integrals of motion and relating to the special combinations of rotations and translations in Euclidean space. Comment: 27 pages, LaTeX with amsfonts |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.geomphys.2023.104911 |
| URL الوصول: | http://arxiv.org/abs/2301.02774 |
| رقم الأكسشن: | edsarx.2301.02774 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.geomphys.2023.104911 |
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