Bohmian Mechanics [electronic resource] : The Physics and Mathematics of Quantum Theory /
Dürr, Detlef.author.
Teufel, Stefan.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
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.
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.
Quantum physics.
Atoms.
Physics.
Mathematical physics.
Statistical physics.
Dynamical systems.
Probabilities.
Quantum Physics.
Atomic, Molecular, Optical and Plasma Physics.
Theoretical, Mathematical and Computational Physics.
Mathematical Methods in Physics.
Complex Systems.
Probability Theory and Stochastic Processes.
Quantum theory Mathematics