Bohmian Mechanics as the Foundation of Quantum Mechanics

Author:   Stefan Teufel ,  Detlef Durr
Publisher:   Springer-Verlag New York Inc.
Volume:   No. 1005
ISBN:  

9781402094293


Pages:   391
Publication Date:   01 February 2009
Format:   Hardback
Availability:   Temporarily unavailable   Availability explained
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Bohmian Mechanics as the Foundation of Quantum Mechanics


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Overview

Bohmian Mechanics was found 1952 by David Bohm as an ontological theory of quantum phenomena. It had been revived in the second half of the last century 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. The theory is about the motion of point particles, the statistical analysis of which, yields the formalism of quantum mechanics in terms of Hilbert spaces, self-adjoint operator-observables, and projection and positive operator valued measures. Tunneling times, arrival times, and first exit times are easily described within Bohmian mechanics.The book explains how Boltzmann 's probabilistic reasoning in statistical mechanics when applied to Bohmian mechanics leads to a rational account of quantum mechanics and its mathematical abstractions. It provides the insight and the mathematical tools to establish the formalism of quantum theory, including scattering theory, as the statistical macroscopic description of Bohmian mechanics. It reviews the essentials of classical physical theories relevant to the probabilistic reasoning and introduces Bohmian mechanics from various points of views. It provides rational perspectives on identical particles (bosons and fermions), the classical limit, quantum equilibrium, uncertainty relation and quantum observables. The book is self contained, it develops carefully the insight for the need of the mathematics of quantum mechanics, which is carried out with full mathematical rigor.

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Author:   Stefan Teufel ,  Detlef Durr
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Volume:   No. 1005
ISBN:  

9781402094293


ISBN 10:   1402094299
Pages:   391
Publication Date:   01 February 2009
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

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Detlef Durr: 1978 PhD in physics, Department of Physics University of Muenster 1979-1984 post Doc Department of Mathematics, Rutgers University 1984-1989 Heisenberg fellow (DFG stipend) after Habilitation in Bochum Since 1989 Professor at the Department of Mathematics, LMU Munchen Author of: Bohmsche Mechanik als Grundlage der Quantenmechanik, Guesteditor of the IOP volume: The quantum universe Editor of Springer Lecture Notes in Physics: Chance in Physics: Foundations and Perspectives Stefan Teufel: 1998 PhD in mathematics, Mathematics Department, LMU Munich 1999-2003 Assistant at the Center for Mathematics, TU Munich 2004 Lecturer at the Mathematics Department of Warwick University, UK Since 2005 Professor at the Mathematics Institute, University of Tubingen Author of: Adiabatic perturbation theory in quantum dynamics Lecture Notes in Mathematics 1821. Springer-Verlag, Berlin, Heidelberg, New York, 2003.

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