Lecture 11. Integrals of Motion for the Open Toda Chain

  1. 00:16Previous Lecture: Summary
  2. 07:21Theorem (Tr(L^k) are Integrals of Motion for the Open Toda Chain)
  3. 20:43Involutivity of Tr(L^k). R-matrix Formalism
  4. 40:30Lemma (P Operator)
  5. 43:46Lemma (P Operator and Lax Operator)
  6. 50:46Lemma (P Operator)
  7. 01:00:07Theorem (Relation for the Lax Operator and the P Operator) and Corollary