*This paper was written while both authors were guests of the Forschungsinstitut fur Mathematik at the ETH Zurich, and we thank the institute for its hospitality, pleasant working atmosphere and… Expand

The purpose of this lecture is to describe the KAM theorem in its most basic form and to give a complete and detailed proof.
This proof essentially follows the traditional lines laid out by the… Expand

We describe the construction of almost-periodic solutions for a particular Schrödinger equation on a finite x- interval, depending on some potential V. The construction proceeds by iterating a KAM… Expand

A general perturbation theory of the Kolmogorov-Arnold-Moser type is described concerning the existence of infinite dimensional invariant tori in nearly integrable hamiltonian systems. The key idea… Expand