AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators
About this Title
Gerald Teschl, University of Vienna, Vienna, Austria
Publication: Graduate Studies in Mathematics
Publication Year:
2009; Volume 99
ISBNs: 978-0-8218-4660-5 (print); 978-1-4704-1838-0 (online)
DOI: https://doi.org/10.1090/gsm/099
MathSciNet review: MR2499016
MSC: Primary 81-01; Secondary 47N50, 81Qxx
Table of Contents
Download chapters as PDF
Front/Back Matter
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
- Appendix A. Almost everything about Lebesgue integration