Hamiltonian Mechanics: Analytical Approach

Related lectures (32)

Page 3 of 4

Covers the limitations of Lagrange formalism and the transition to Hamiltonian formalism for dynamic variables.

Explores charged particles in a magnetic field, focusing on Landau levels and gauge transformations.

Explores mechanical energy conservation, harmonic oscillators, and equilibrium in mechanical systems.

Explores Jacobi identity, gauge invariance, and conservation laws in quantum mechanics and classical physics.

Discusses the harmonic oscillator in quantum mechanics and its implications for molecular interactions and energy levels.

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Explores symmetric matrices, quadratic forms, and critical points in functions of two variables.

Covers the quantum harmonic oscillator and its applications in coupling quantum circuits.