PHYS2113 2023 Video 13 -- Hamiltonian Mechanics Example скачать в хорошем качестве

PHYS2113 2023 Video 13 -- Hamiltonian Mechanics Example

This lecture is the third of a series of four on Hamiltonian mechanics. We look at the simple harmonic oscillator as a simple example of using Hamiltonian mechanics to solve problems. This includes doing the Legendre transform of the Lagrangian, to show that the Hamiltonian has the expected form based on the known total energy for the system and solving Hamilton's equations to get the equations of motion. We finish by looking at the phase space trajectory of the simple harmonic oscillator and some basic properties of phase space trajectories regarding trajectory crossings. Lecturer: Prof. Adam Micolich Background: Nakamise St, Asakusa, Tokyo, Japan.