Bohmian Mechanics: The Physics and Mathematics of Quantum Theory

ISBN-13: 9783540893431 / Angielski / Twarda / 2009 / 408 str.

Detlef Da1/4rr; Stefan Teufel

Opis

This book provides an introduction to Bohmian mechanics and to the mathematical abstractions of quantum mechanics, which range from the self-adjointness of the Schr dinger operator to scattering theory. It is an ideal starting point for those new to the field.

Recenzje

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)

Spis treści

Classical Physics.- Symmetry.- Chance.- Brownian motion.- The Beginning of Quantum Theory.- Schr#x00F6;dinger#x2019;s Equation.- Bohmian Mechanics.- The Macroscopic World.- Nonlocality.- The Wave Function and Quantum Equilibrium.- From Physics to Mathematics.- Hilbert Space.- The Schr#x00F6;dinger Operator.- Measures and Operators.- Bohmian Mechanics on Scattering Theory.- Epilogue.

O autorze

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.

Blurb

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.