Quantum Measurement

• 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.

“This book is addressed to students of physics or mathematics who like mathematically rigorous formulations and deductions. It may as well serve lecturers or researchers as a useful reference text. The reader gets well introduced into the physical problems and the mathematical tools used for their solution. … The content of this book is highly rich. … This book is best recommended.” (K.-E. Hellwig, zbMath 1416.81001, 2019)“The book is constructed as a series of theorems, proofs, propositions, lemmas and corollaries … . Each chapter throughout the book is supplemented by a detailed set of references for further reading. Consequently, this monograph will be very useful as a reference work. … this is a volume that is really intended for mathematicians.” (Stephen J. Blundell, Contemporary Physics, Vol. 58 (4), September, 2017)