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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Milano :
Springer Milan : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | La Matematica per il 3+2,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.