Analytical Mechanics: Principle of Least Action

Related lectures (31)

Page 1 of 4

Covers the principle of least action and variational calculus in discovering equations of motion.

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Explores Hamilton's formalism, canonical equations, and Poisson brackets in classical and quantum mechanics.

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

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.

Covers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.

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

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

Explores generalized coordinates, constraints, equilibrium points, and stability in mechanics using elegant polar coordinates.