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Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

  • Antonio B. Nassar
  • Salvador Miret-Artés

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Antonio B. Nassar, Salvador Miret-Artés
    Pages 1-62
  3. Antonio B. Nassar, Salvador Miret-Artés
    Pages 63-124
  4. Antonio B. Nassar, Salvador Miret-Artés
    Pages 125-180
  5. Antonio B. Nassar, Salvador Miret-Artés
    Pages 181-235
  6. Back Matter
    Pages 237-241

About this book

Introduction

This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse.  The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.

Keywords

Bohmian Quantum Mechanics Measurement in Bohmian Mechanics Mensky Approach to Quantum Measurement Quantum Corridors Quantum Measurement and Decoherence Quantum Stochastic Trajectories Violation of Noncrossing Rule Weak Measurement in Quantum Mechanics

Authors and affiliations

  • Antonio B. Nassar
    • 1
  • Salvador Miret-Artés
    • 2
  1. 1.Department of SciencesUniversity of CaliforniaLos AngelesUSA
  2. 2.Superior Council for Scientific ResearchInstitute of Fundamental PhysicsMadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-53653-8
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-53651-4
  • Online ISBN 978-3-319-53653-8
  • Buy this book on publisher's site
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