Table of Contents

• Preface
• Part 0. Preliminaries
• Chapter 0. A first look at Banach and Hilbert spaces
• Part 1. Mathematical foundations of quantum mechanics
• Chapter 1. Hilbert spaces
• Chapter 2. Self-adjointness and spectrum
• Chapter 3. The spectral theorem
• Chapter 4. Applications of the spectral theorem
• Chapter 5. Quantum dynamics
• Chapter 6. Perturbation theory for self-adjoint operators
• Part 2. Schrödinger operators
• Chapter 7. The free Schrödinger operator
• Chapter 8. Algebraic methods
• Chapter 9. One-dimensional Schrödinger operators
• Chapter 10. One-particle Schrödinger operators
• Chapter 11. Atomic Schrödinger operators
• Chapter 12. Scattering theory
• Part 3. Appendix
• Chapter 13. Almost everything about Lebesgue integration
• Bibliographical notes
• Bibliography
• Glossary of notation
• Index

About the Author

Gerald Teschl, University of Vienna, Austria.

Reviews

The book is written in a very clear and compact style. It is well suited for self-study and includes numerous exercises (many with hints)." - Zentralblatt MATH

"The author presents this material in a very clear and detailed way and supplements it by numerous exercises. This makes the book a nice introduction to this exciting field of mathematics." - Mathematical Reviews