Bohmian Mechanics

The Physics and Mathematics of Quantum Theory

Authors: Dürr, Detlef, Teufel, Stefan

  • Boltzmann 's probabilistic reasoning applied to Bohmian mechanics gives a rational account of quantum mechanics and its mathematical abstractions
  • Students learn to handle the mathematical abstraction of quantum mechanics along with the complete physical background
  • Foundations of quantum mechanics and its intricate mathematics are presented at student level without philosophical superstructures, paradoxes or mysteries
  • Beginning at undergraduate level, develops quantum mechanics and its advanced mathematical abstractions by analyzing the Bohmian motion of particles
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Softcover $109.00
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About this book

Bohmian Mechanics was formulated in 1952 by David Bohm as a complete theory of quantum phenomena based on a particle picture. It was promoted some decades later by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. This book provides a systematic introduction to Bohmian mechanics and to the mathematical abstractions of quantum mechanics, which range from the self-adjointness of the Schrödinger operator to scattering theory. It explains how the quantum formalism emerges when Boltzmann's ideas about statistical mechanics are applied to Bohmian mechanics. The book is self-contained, mathematically rigorous and an ideal starting point for a fundamental approach to quantum mechanics. It will appeal to students and newcomers to the field, as well as to established scientists seeking a clear exposition of the theory.

About the authors

Detlef Dürr studied physics in Münster, Germany, where he obtained his PhD in physics in 1978. After four post-doc years at Rutgers in the group of Joel Lebowitz working with Sheldon Goldstein, he was awarded a Heisenberg fellowship (1985-1989), during which he joined forces with Sheldon Goldstein and Nino Zanghì to develop the statistical analysis of Bohmian mechanics - a cooperation which continues to this day. In 1989 he became professor of mathematics at the University of Munich. His research interests are non-equilibrium statistical mechanics, foundations of statistical mechanics, Bohmian mechanics and the foundations of quantum theory.

Stefan Teufel studied physics in Munich, Germany, where he was awarded his PhD in mathematics in 1998. His PhD advisor was Detlef Dürr. After one year as a post doc at Rutgers with Sheldon Goldstein he joined the group of Herbert Spohn at the Technical University of Munich. In 2004 he became lecturer in mathematics at Warwick University, UK. Since 2005 he has been full professor of mathematics at the University of Tübingen. His research interests include adiabatic and semiclassical problems in quantum dynamics, exponential asymptotics and Bohmian mechanics.

Reviews

From the reviews:

“In this extremely important and well-written book is that there is indeed a genuine problem with ordinary quantum mechanics, but also that there is a solution. … It offers a detailed, pedagogical, and comprehensive discussion of a solution to the conceptual problems of quantum mechanics: Bohmian mechanics. … This book contains a lot more than the best existing exposition of Bohm’s theory. … it also contains a lot of good philosophical observations.” (Jean Bricmont, Metascience, Vol. 20 (1), March, 2011)

“This book is both an introduction to and a case for Bohmian quantum mechanics. It attempts to expose the myths surrounding the approach and to clarify its formal and physical basis. … It is certainly the best book on the Bohmian approach currently on the market … .” (Dean Rickles, Mathematical Reviews, Issue 2011 h)


Table of contents (17 chapters)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-540-89344-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-540-89343-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-10040-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Bohmian Mechanics
Book Subtitle
The Physics and Mathematics of Quantum Theory
Authors
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-89344-8
DOI
10.1007/b99978
Hardcover ISBN
978-3-540-89343-1
Softcover ISBN
978-3-642-10040-6
Edition Number
1
Number of Pages
XII, 393
Number of Illustrations and Tables
41 b/w illustrations
Topics