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Lecture
Canonical Transformations in Hamiltonian Mechanics
Description
This lecture covers the concept of canonical transformations in Hamiltonian mechanics, focusing on the separation of variables in the Hamilton-Jacobi equation. The instructor explains how to isolate variables and write the Hamiltonian function more generally. The lecture also discusses the integrability of completely separable systems, the phase portrait representation of trajectories, and the conservation of energy in isolated systems.
Official source
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