Intermediate spectral theory and quantum dynamics
The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2009. |
| Serie: | Progress in Mathematical Physics
54 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Intermediate spectral theory and quantum dynamics, César R. de Oliveira, Basel, Birkhäuser, 2009, 1 vol. (XIII-410 p.), Progress in Mathematical Physics, 978-3-7643-8794-5 • Intermediate Spectral Theory and Quantum Dynamics, Texte imprimé, 9783764398392 |
Sommario:
- A Glance at Quantum Mechanics
- Linear Operators and Spectra
- Adjoint Operator
- Fourier Transform and Free Hamiltonian
- Operators via Sesquilinear Forms
- Unitary Evolution Groups
- Kato-Rellich Theorem
- Boundary Triples and Self-Adjointness
- Spectral Theorem
- Applications of the Spectral Theorem
- Convergence of Self-Adjoint Operators
- Spectral Decomposition I
- Spectral Decomposition II
- Spectrum and Quantum Dynamics
- Some Quantum Relations