Poisson brackets formulation

Classical Mechanics (Fall, 2007)

Lecture Playlist

  1. State diagrams and the nature of physical laws

  2. Newton's laws, principle of least action

  3. Euler-Lagrange equations, symmetry and conservation laws

  4. Symmetry and conservation Laws

  5. Lagrangians and Hamiltonians

  6. Hamilton's equations

  7. Liouville’s theorem

  8. Motion in an electromagnetic field

  9. Poisson brackets formulation

December 20, 2007
Poisson brackets formulation describes flow in phase space.
Define the axiomatic structure of Poisson brackets. Canonical rransformation of Poisson brackets preserves the Poisson bracket axioms.
Define the generator of an infinitesimal canonical transformation.
Topics: 
  • Poisson brackets
  • Canonical transformation
  • Phase space
  • Generator function
References