Lecture 5. Symplectic Structure. Hamiltonian Vector Fields

  1. 00:16Previous Lecture: Summary
  2. 09:12Theorem (Poisson Bivector: Equivalent Condition in Terms of Differential Forms): Proof
  3. 23:08Examples of Symplectic Structures
  4. 34:34Hamiltonian Vector Fields
  5. 38:59Commutator of Vector Fields (Lie Bracket of Vector Fields)
  6. 49:22Lemma (Poisson Bracket of Functions and Lie Bracket of Vector Fields)
  7. 01:07:56Integrals of Motion and Casimir Functions