Spectral Theory and Quantum Mechanics : With an Introduction to the Algebraic Formulation
This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the phys...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Autres auteurs: | |
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Milano :
Springer Milan
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2013. |
| Collection: | La Matematica per il 3+2
64 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Trad. de l'italien : "Teoria spettrale e meccanica quantistica", Springer-Verlag Italia 2010 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral theory and quantum mechanics, with an introduction to the algebraic formulation, Valter Moretti, 2013, Milan, Springer, 1 vol. (XVI-728 p.), Unitext, 978-88-470-2834-0 |
Table des matières:
- Introduction and mathematical backgrounds Normed and Banach spaces, examples and applications Hilbert spaces and bounded operators Families of compact operators on Hilbert spaces and fundamental properties Densely-defined unbounded operators on Hilbert spaces Phenomenology of quantum systems and Wave Mechanics: an overview The first 4 axioms of QM: propositions, quantum states and observables Spectral Theory I: generalities, abstract C -algebras and operators in B(H) Spectral theory II: unbounded operators on Hilbert spaces Spectral Theory III: applications Mathematical formulation of non-relativistic Quantum Mechanics Introduction to Quantum Symmetries Selected advanced topics in Quantum Mechanics Introduction to the Algebraic Formulation of Quantum Theories Order relations and groups Elements of differential geometry