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Hamilton's canonical equations from the principal of least action
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Classroom Contents
Generating Function of a Canonical Transformation - Examples and the Big Picture
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- 1 Summary so far
- 2 Hamilton's canonical equations from the principal of least action
- 3 Generating function approach to canonical transformations
- 4 Harmonic oscillator example
- 5 Aside: photon energy and momentum looks like harmonic oscillator in quantum mechanics
- 6 Different kinds of generating functions
- 7 Near-identity transformations and flow map of Hamilton's equations
- 8 Summary / big picture of canonical transformations
