Hamiltonian Formulation 2. Preparation
Mathematically, Lagrangian treats q and as distinct
-
-
- identify the generalized momentum as
-
- e.g.
-
- Lagrangian equations of motion
We would like a formulation in which p is an independent variable
- pi is the derivative of the Lagrangian with respect to , and we’re looking to replace with pi
- we need …?