Hamilton-Jacobi Theory - Finding the Best Canonical Transformation + Examples

Hamilton-Jacobi Theory - Finding the Best Canonical Transformation + Examples

Ross Dynamics Lab via YouTube Direct link

Every point in phase space is an equilibrium point

2 of 8

2 of 8

Every point in phase space is an equilibrium point

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

Hamilton-Jacobi Theory - Finding the Best Canonical Transformation + Examples

Automatically move to the next video in the Classroom when playback concludes

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

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.