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Example: Hamilton-Jacobi for simple harmonic oscillator
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Classroom Contents
Hamilton-Jacobi Theory - Finding the Best Canonical Transformation + Examples
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- 1 Hamilton-Jacobi theory introduction
- 2 Every point in phase space is an equilibrium point
- 3 Derivation of Hamilton-Jacobi equation
- 4 Example: Hamilton-Jacobi for simple harmonic oscillator
- 5 Simplification: if Hamiltonian is time-independent
- 6 Hamilton's Principal function S is the action integral
- 7 Example: Hamilton-Jacobi for Kepler problem
- 8 Simplification: if Hamiltonian is separable
