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 mechanics...

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Bibliographic Details
Main Authors: Busch, Paul, Lahti, Pekka (Author), Pellonpää, Juha-Pekka (Author), Ylinen, Kari (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Theoretical and Mathematical Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Part I Mathematics
  • Rudiments of Hilbert Space Theory
  • Classes of Compact Operators
  • Operator Integrals and Spectral Representations: the Bounded Case
  • Operator Integrals and Spectral Representations: the Unbounded Case
  • Miscellaneous Algebraic and Functional Analytic Techniques
  • Dilation Theory
  • Positive Operator Measures: Examples
  • Part II Elements
  • States, Effects and Observables
  • Measurement
  • Joint Measurability
  • Preparation Uncertainty
  • Measurement Uncertainty
  • Part III Realisations
  • Qubits
  • Position and Momentum
  • Number and Phase
  • Time and Energy
  • State Reconstruction
  • Measurement Implementations
  • Part IV Foundations
  • Bell Inequalities and Incompatibility
  • Measurement Limitations due to Conservation Laws
  • Measurement Problem
  • Axioms for Quantum Mechanics
  • Index