Quantum measurement
This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann's classic treatise with this title. Fundamental non-classical features of quantum mech...
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Format: | eBook |
Language: | English |
Published: |
Cham :
Springer,
2016
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Series: | Theoretical and mathematical physics (Springer)
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Genre/form: | kolektivní monografie elektronické knihy |
ISBN: | 978-3-319-43389-9 978-3-319-43387-5 |
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Online Access: | Plný text |
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Other form: | Printed version |
Table of Contents:
- 1 Introduction
- Part I Mathematics
- 2 Rudiments of Hilbert Space Theory
- 3 Classes of Compact Operators
- 4 Operator Integrals and Spectral Representations: The Bounded Case
- 5 Operator Integrals and Spectral Representations: The Unbounded Case
- 6 Miscellaneous Algebraic and Functional Analytic Techniques
- 7 Dilation Theory
- 8 Positive Operator Measures: Examples
- Part II Elements
- 9 States, Effects and Observables
- 10 Measurement
- 11 Joint Measurability
- 12 Preparation Uncertainty
- 13 Measurement Uncertainty
- Part III Realisations
- 14 Qubits
- 15 Position and Momentum
- 16 Number and Phase
- 17 Time and Energy
- 18 State Reconstruction
- 19 Measurement Implementations
- Part IV Foundations
- 20 Bell Inequalities and Incompatibility
- 21 Measurement Limitations Due to Conservation Laws
- 22 Measurement Problem
- 23 Axioms for Quantum Mechanics