Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Quantum Measurement - Paul Busch, Pekka Lahti, Juha-Pekka Pellonpää, Kari Ylinen

Quantum Measurement

Buch | Softcover
XII, 542 Seiten
2018 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-82809-1 (ISBN)
CHF 239,65 inkl. MwSt
  • Versand in 10-15 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken

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-indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality-are explicated and analysed using the tools of operational quantum theory.

The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective.

The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.

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)

Erscheinungsdatum
Reihe/Serie Theoretical and Mathematical Physics
Zusatzinfo XII, 542 p. 7 illus., 2 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 8307 g
Themenwelt Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Arthurs-Kelly model • Bell inequalities • Cayley transform • Dilation theory • Eight-port homodyne detection • Fourier-Plancherel transform • Fréchet-Riesz theorem • Hilbert-Schmidt operator class • Mach-Zehnder interferometer • Measurement schemes • Quantum Logic • Qubit states • Riesz-Markov-Kakutani representation theorem • Stone's theorem • Wigner-Araki-Yanase theorem • Yanase condition
ISBN-10 3-319-82809-6 / 3319828096
ISBN-13 978-3-319-82809-1 / 9783319828091
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Grundlegende Vorstellungen und Begriffe

von Thomas Görnitz

Buch | Hardcover (2024)
Carl Hanser (Verlag)
CHF 62,95
Quantenmechanik

von Gerhard Franz

Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 125,90