香蕉视频

Title:聽Superintegrability and time-dependent integrals.

abstract:聽While looking for additional integrals of motion of several minimally superintegrable systems in static electric and magnetic fields, we have realized that in some cases Lie point symmetries of Euler-Lagrange equations imply the existence of explicitly time-dependent integrals of motion through Noether's theorem. In the talk, we will briefly review Lie point symmetries of ODE and a geometrical version of Noether's theorem and subsequently analyse in detail three superintegrable systems exhibiting time dependent constants of motion. Specifically these are the non-isotropic harmonic oscillator and two systems with magnetic fields from the article A. Marchesiello, L. 艩nobl, J. Phys. A: Math. Theor. 50, 245202 (2017)