An Introduction to Hilbert Space and Quantum Logic /
Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilber...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
1989.
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| Series: | Problem books in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Experiments, Measure, and Integration: Measures. Integration. Hilbert Space Basics
- The Logic of Nonclassical Physics: Manuals of Experiments and Weights. Logics and State Functions. Subspaces in Hilbert Space
- Maps on Hilbert Spaces: Linear Functionals and Function Spaces. Projection Operators and the Projection Logic
- State Space and Gleason's Theorem: The Geometry of State Space. Gleason's Theorem
- Spectrality: Finite Dimensional Spaces, The Spectral Resolution Theorem. Infinite Dimensional Spaces, The Spectral Theorem
- The Hilbert Space Model for Quantum Mechanics and the EPR Dilemma: A Brief History of Quantum Mechanics. A Hilbert Space Model for Quantum Mechanics. The EPR Experiment and the Challenge of the Realists
- Index of Definitions.