Action-angle coordinates

Related lectures (9)

Covers the recap of classical mechanics and accelerator physics, focusing on beam size, emittance, divergence, and correlation.

Explores Hamilton-Jacobi equations, phase portrait, and period calculation using action-angle variables for system trajectories.

Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Explores canonical transformations in Hamiltonian mechanics, emphasizing variable separation in the Hamilton-Jacobi equation.

Explores canonical transformations, phase portraits, and action variables in Hamiltonian systems and harmonic oscillators.

Covers classical mechanics, including Newton's, Lagrange's, and Hamilton's formulations for calculating particle positions over time.

Covers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.

Explores reference, design, and closed orbits, as well as emittance and beam size in particle accelerators.

Explores the concept of bulky Hamiltonian isotopies of Lagrangian tori.

Page 1 of 1