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Operator Integrals and Spectral Representations: The Bounded Case by Busch, Paul; Lahti, Pekka; Pellonpää, Juha-Pekka; Ylinen, Kari is a scholarly article available to read on EtoBox.

What is Operator Integrals and Spectral Representations: The Bounded Case about?

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 me

Author

Busch, Paul; Lahti, Pekka; Pellonpää, Juha-Pekka; Ylinen, Kari

Publisher

Springer International Publishing

Published

2016

Language

EN

ISBN

9783319433875