Canonical Transformations: Properties and Applications

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Linear Beam Dynamics

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

Canonical Transformations: Rules and Equations

Explores canonical transformations, rules, equations, gauge invariance, and the principle of least action.

Hamiltonian Mechanics: Diatomic Molecules

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

Essential Coexistence Phenomenon in Hamiltonian Dynamics

By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.

Charged Particle in Magnetic Field

Explores the behavior of a charged particle in a magnetic field, covering classical and quantum aspects, gauge transformations, and spatial translations.

Canonical Transformations: Trajectories and Integrable Systems

Explores trajectories in integrable systems and the challenges of making predictions.

Hamiltonian Mechanics: Analytical Approach

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

Canonical Transformations: Phase Portraits and Action Variables

Explores canonical transformations, phase portraits, and action variables in Hamiltonian systems and harmonic oscillators.

Hamilton's Formalism: Equations and Transformations

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

Canonical Transformations in Hamiltonian Mechanics

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