Introduction to Spectral Theory: With Applications to Schrödinger Operators

The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance.
A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past de...