Spectral Theory and Quantum Mechanics
This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible int...
Saved in:
| Hovedforfatter: | |
|---|---|
| Institution som forfatter: | |
| Format: | Electronisk eBog |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
|
| Udgivelse: | 1st ed. 2024. |
| Serier: | Universitext,
|
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-031-66878-4 |
| Tags: |
Tilføj Tag
Ingen Tags, Vær først til at tagge denne postø!
|
Indholdsfortegnelse:
- 1 Introduction to quantum mechanics: the hydrogen atom
- 2 Self-adjointness
- 3 Self-adjointness criteria: Rellich, Kato & Friedrichs
- 4 Spectral theorem and functional calculus
- 5 Spectrum of self-adjoint operators
- 6 N-particle systems, atoms, molecules
- 7 Periodic Schrödinger operators, electronic properties of materials
- Appendix A: Sobolev spaces
- Appendix B: Problems.