Second order Killing tensors related to symmetric spaces

Autor:	Porubov, E. O., Tsiganov, A. V.
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
DOI:	10.1016/j.geomphys.2023.104911
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.02774 Zobrazit plný text záznamu View this record from Arxiv