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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.
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- Verlag: Springer-Verlag GmbH
- Erscheinungstermin: 30.04.2009
- ISBN-13: 9783540893448
- Artikelnr.: 44509489
Introduction.- Classical Physics.- Symmetry.- Chance.- Brownian motion.- The Beginning of Quantum Theory.- Schrödinger s Equation.- Bohmian Mechanics.- The MacroscopicWorld.- Nonlocality.- The Wave Function and Quantum Equilibrium.- From Physics to Mathematics.- Hilbert Space.- The Schrödinger Operator.- Measures and Operators.- Bohmian Mechanics on Scattering Theory.- Epilogue.
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)
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