Canonical Transformations in Analytical Mechanics

Related lectures (28)

Page 2 of 3

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Explores Hamiltonian mechanics in diatomic molecules, emphasizing polar coordinates and conservation laws.

Explores canonical transforms and the Hamilton-Jacobi equation, emphasizing explicit solutions and initial conditions.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers separable differential equations of order 1, defining separable equations and providing examples.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Covers the basics of multilinear regression and its application in analyzing material properties.

Covers the material point model, initial conditions, and Newton's laws in physics.

Covers variational methods to find the shortest time path for a particle under gravity.

Covers canonical transformations and the Hamilton-Jacobi equation, emphasizing explicit motion solutions and system evolution.