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.
Home page url
Download or read it online for free here:
by Gerard 't Hooft - Springer
This book presents the deterministic view of quantum mechanics developed by Gerard 't Hooft. 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way. Quantum mechanics is viewed as a tool rather than a theory.
by Robert H. Schumann - arXiv
A short review of ideas in quantum information theory. Quantum mechanics is presented together with some useful tools for quantum mechanics of open systems. The treatment is pedagogical and suitable for beginning graduates in the field.
by David Tong - University of Cambridge
These lectures describe the basic theoretical structures underlying the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary.
by J D Cresser - Macquarie University
With the development of the quantum information interpretation of quantum mechanics, the tendency is to move away from wave mechanics to the more abstract linear algebra version. It is this view of quantum mechanics that is presented in these notes.