Fundamental Mathematical Structures of Quantum Theory Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation /
This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general pro...
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Format: | Electronic eBook |
Language: | English |
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Springer International Publishing : Imprint: Springer,
2019.
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Edition: | 1st ed. 2019. |
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Online Access: | Full Text via HEAL-Link |
Table of Contents:
- General Phenomenology of the Quantum World and Elementary Formalism
- Hilbert Spaces and Classes of Operators
- Observables and States in General Hilbert Spaces: Spectral Theory
- Fundamental Quantum Structures on Hilbert Spaces
- Realism, Non-Contextuality, Local Causality, Entanglement
- von Neumann Algebras of Observables and Superselection Rules
- Quantum Symmetries
- The Algebraic Formulation.