Canonical Transformations: Phase Portraits and Action Variables

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Explores canonical transformations in Hamiltonian formalism, emphasizing preservation of the action principle and structure necessary for transformations.

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

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Explores the quantum harmonic oscillator's mechanics, energy dynamics, and applications in quantum physics.

Hamiltonian Mechanics: Analytical Approach

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

Quantum Harmonic Oscillator

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

Canonical Transformations in Analytical Mechanics

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Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Canonical Transformations: Hamiltonian Equations

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Canonical Transformations: Rules and Equations

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