Canonical Transformations: Hamiltonian Equations

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

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

Explores Hamiltonian mechanics, conservation laws, potential functions, and canonical transformations in analytical detail.

Explores Lagrangian mechanics, symmetries, conservation laws, and the Hamiltonian concept.

Explores the behavior of charged particles in magnetic fields and the invariance of quantum probabilities.

Explores the classical dynamics and quantization of a harmonic LC oscillator.

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

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

Explores the Jarzynski equation and the quantization of electrical circuits in quantum harmonic oscillators.

Explores particle accelerator dynamics, transfer maps, Hamiltonian equations, and phase space conservation.