Canonical Transformations: Trajectories and Integrable Systems

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

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

Covers system variables, types of systems, and process control in static and dynamic systems.

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Introduces field theory, focusing on density, springs, canonical transformations, and the principle of least action.

Explores canonical transformations, symplectic groups, real matrices, preserved quantities, and volumes in phase space.

Covers the Turbulence project, analyzing experimental data and studying chaos in deterministic systems, aiming to simulate real research scenarios.

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

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

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

Explores discrete and continuous degrees of freedom, canonical commutation relations, and the correspondence between classical and quantum mechanics.

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