Theoretical and Mathematical Physics

Quantum Measurement

Authors: Busch, P., Lahti, P.J., Pellonpää, J.-P., Ylinen, K.

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  • Develops tools for a rigorous approach to central questions of quantum mechanics
  • Clarifies some Key issues concerning the foundations and interpretation of quantum mechanics
  • The extensive bibliography makes it a useful reference text for researchers
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eBook 103,52 €
price for Spain (gross)
  • ISBN 978-3-319-43389-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 129,99 €
price for Spain (gross)
  • ISBN 978-3-319-43387-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 129,99 €
price for Spain (gross)
  • ISBN 978-3-319-82809-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“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)

Table of contents (23 chapters)

  • Introduction

    Busch, Paul (et al.)

    Pages 1-10

    Preview Buy Chapter 30,19 €
  • Rudiments of Hilbert Space Theory

    Busch, Paul (et al.)

    Pages 13-36

    Preview Buy Chapter 30,19 €
  • Classes of Compact Operators

    Busch, Paul (et al.)

    Pages 37-62

    Preview Buy Chapter 30,19 €
  • Operator Integrals and Spectral Representations: The Bounded Case

    Busch, Paul (et al.)

    Pages 63-100

    Preview Buy Chapter 30,19 €
  • Operator Integrals and Spectral Representations: The Unbounded Case

    Busch, Paul (et al.)

    Pages 101-126

    Preview Buy Chapter 30,19 €

Buy this book

eBook 103,52 €
price for Spain (gross)
  • ISBN 978-3-319-43389-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 129,99 €
price for Spain (gross)
  • ISBN 978-3-319-43387-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 129,99 €
price for Spain (gross)
  • ISBN 978-3-319-82809-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Measurement
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-43389-9
DOI
10.1007/978-3-319-43389-9
Hardcover ISBN
978-3-319-43387-5
Softcover ISBN
978-3-319-82809-1
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XII, 542
Number of Illustrations
5 b/w illustrations, 2 illustrations in colour
Topics