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Time in Quantum Mechanics

  • Book
  • © 2002

Overview

Editors:
  1. J. G. Muga

    1. Departamento de Química-Física Facultad de Ciencias, Universidad del País Vasco, Bilbao, Spain

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  2. R. Sala Mayato

    1. Departamento de Física Fundamental II, Universidad de La Laguna, Spain

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  3. I. L. Egusquiza

    1. Fisika Teorikoaren Saila Zientzi Fakultatea, Euskal Herriko Unibertsitatea, Bilbao, Spain

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    You can also search for this editor in PubMed   Google Scholar

  • There seems to be no recent comprehensive treatment of the concept of time in quantum theory
  • This book partially closes this gap
  • It should have at least potentially a huge readership
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 72)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • J. Gonzalo Muga, Rafael Sala Mayato, Iñigo L. Egusquiza
    Pages 1-28

  3. Characteristic Times in One-Dimensional Scattering

    • J. Gonzalo Muga
    Pages 29-68

  4. The Time-Energy Uncertainty Relation

    • Paul Busch
    Pages 69-98

  5. Jump Time and Passage Time: The Duration of a Quantum Transition

    • Lawrence S. Schulman
    Pages 99-120

  6. Bohm Trajectory Approach to Timing Electrons

    • C. Richard Leavens
    Pages 121-152

  7. Decoherent Histories for Space-Time Domains

    • Jonathan J. Halliwell
    Pages 153-182

  8. Quantum Traversal Time and Path Integrals

    • Dmitri Sokolovski
    Pages 183-216

  9. Quantum Clocks and Stopwatches

    • Rafael Sala Mayato, Daniel Alonso, Iñigo L. Egusquiza
    Pages 217-255

  10. The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics

    • Markus Büttiker
    Pages 256-278

  11. “Standard” Quantum Mechanical Approach to Times of Arrival

    • Iñigo L. Egusquiza, J. Gonzalo Muga, Andrés D. Baute
    Pages 279-304

  12. Experimental Issues in Quantum-Mechanical Time Measurement

    • Aephraim M. Steinberg
    Pages 305-325

  13. Microwave Experiments on Tunneling Time

    • Daniela Mugnai, Anedio Ranfagni
    Pages 326-368

  14. The Two-State Vector Formalism of Quantum Mechanics

    • Yakir Aharonov, Lev Vaidman
    Pages 369-412

  15. Back Matter

    Pages 413-419
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Keywords

About this book

Time and quantum mechanics have, each of them separately, captivated s- entists and laymen alike, as shown by the abundance of popular publications on “time” or on the many quantum mysteries or paradoxes. We too have been seduced by these two topics, and in particular by their combination. Indeed, the treatment of time in quantum mechanics is one of the important and challenging open questions in the foundations of quantum theory. This book describes the problems, and the attempts and achievements in de?ning, formalizing and measuring di?erent time quantities in quantum theory, such as the parametric (clock) time, tunneling times, decay times, dwell times, delay times, arrival times or jump times. The theoretical analysis of several of these quantities has been controversial and is still subject to debate. For example, there are literally hundreds of research papers on the tunneling time. In fact, the standard recipe to link the observables and the formalism does not seem to apply, at least in an obvious manner, to time observables. This has posed the challenge of extending the domain of ordinary quantum mechanics.

Reviews

"I enjoyed reading this valuable addition to Springer’s Lecture Notes in Physics series. Beginning with a clear introduction to the perplexing issue of the nature of time in quantum mechanics, the reader then undertakes a stimulating excursion through a sequence of chapters written by leading researchers. Theory and experiment are nicely balanced, and extensive lists of references accompany each chapter. [...] this text is currently the final word as it presents a representative survey of current topics on this subject." (Berry Sanders, The Physicist, 39/5, 2002)

"Each of the contributions is presented in the same spirit and gives a quick but complete short review in the proposed topics. In conclusion, this unique monograph should interest both physicists and philosophers of science working in the foundations of quantum physics." (Physicalia, 25/2, 2003)

Editors and Affiliations

  • Departamento de Química-Física Facultad de Ciencias, Universidad del País Vasco, Bilbao, Spain

    J. G. Muga

  • Departamento de Física Fundamental II, Universidad de La Laguna, Spain

    R. Sala Mayato

  • Fisika Teorikoaren Saila Zientzi Fakultatea, Euskal Herriko Unibertsitatea, Bilbao, Spain

    I. L. Egusquiza

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