by Edward Nelson
Publisher: Princeton University Press 1985
Number of pages: 158
Stochastic mechanics is a description of quantum phenomena in classical probabilistic terms. This work contains a detailed account of the kinematics of diffusion processes, including diffusions on curved manifolds which are necessary for the treatment of spin in stochastic mechanics. The dynamical equations of the theory are derived from a variational principle, and interference, the asymptotics of free motion, bound states, statistics, and spin are described in classical terms. In addition to developing the formal mathematical aspects of the theory, the book contains discussion of possible physical causes of quantum fluctuations in terms of an interaction with a background field. The author gives a critical analysis of stochastic mechanics as a candidate for a realistic theory of physical processes, discussing measurement, local causality in the sense of Bell, and the failure of the theory in its present form to satisfy locality.
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by Roman Schmied - arXiv
This document is aimed at advanced students of physics who are familiar with the concepts and notations of quantum mechanics. It tries to bridge the gap between simple analytic calculations and complicated large-scale computations.
by Robert B. Griffiths - Cambridge University Press
This volume elucidates the consistent quantum theory approach to quantum mechanics at a level accessible to university students in physics, chemistry, mathematics, and computer science, making this an ideal supplement to standard textbooks.
by Per Östborn - arXiv
Here, we derive the formalism of QM from well-motivated epistemic principles. A key assumption is that in a proper physical theory, the introduction of entities or distinctions that are unknowable in principle is in conflict with the theory.
by Oleg Kupervasser - arXiv
Statistical classical mechanics and quantum mechanics are two developed theories that contain a number of paradoxes. However the given paradoxes can be resolved within the framework of the existing physics, without introduction of new laws.