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33:14
YouTube
Victor Lazo
The Harmonic oscillator via the Hamilton-Jacobi equation
A new manner of finding the equations of motion of a mechanical system is to use the Hamilton - Jacobi equation. This equation comes from using canonical transformations to find an specific transformation for a 'new' Hamiltonian function , K, equals to zero. This allows to solve the Hamilton equations with finding a function, S, just by taking ...
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