ABSTRACT
This chapter continues our development of the theory of Hamiltonian systems, giving a few more advanced topics. In addition to traditional topics related to canonical transformations and Hamilton–Jacobi theory, we present an introduction to some topics of more recent vintage including Lagrangian submanifolds, quantization and infinite-dimensional systems. The final section (5.6) is intended to provide a transition from this chapter to Part 3 on qualitative dynamics.
