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Spectral theory and quantum mechanics: with an introduction to the algebraic formulation /
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| Format: | Printed Book |
| Published: |
Milan:
Springer,
2013
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| Series: | Unitext - La matematica per il 3+2 ;
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| Online Access: | http://www.amazon.com/Spectral-Theory-Quantum-Mechanics-Introduction/dp/8847028345#reader_8847028345 |
Table of Contents:
- 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 [beta]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
- Appendices.