Generating Function of a Canonical Transformation - Examples and the Big Picture

Generating Function of a Canonical Transformation - Examples and the Big Picture

Ross Dynamics Lab via YouTube Direct link

Summary so far

1 of 8

1 of 8

Summary so far

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Generating Function of a Canonical Transformation - Examples and the Big Picture

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

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