Quantum Fluctuations [Electronic book] /
Edward Nelson.
- 1 online resource (160 pages).
- Princeton Series in Physics ; 108 .
Available through DeGruyter.
Frontmatter -- CONTENTS -- PREFACE -- Chapter I. KINEMATICS OF DIFFUSION -- Chapter II. DYNAMICS OF CONSERVATIVE DIFFUSION -- Chapter III STOCHASTIC MECHANICS -- Chapter IV PHYSICS OR FORMALISM? -- A LIST OF OPEN PROBLEMS -- BIBLIOGRAPHY -- INDEX -- LIST OF SYMBOLS
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.
In English.
9780691218021 0691218021
10.1515/9780691218021 doi
9452627 IEEE
Diffusion processes. Quantum field theory. Stochastic processes. Stochastic Processes Processus de diffusion. Th�eorie quantique des champs. Processus stochastiques. SCIENCE / Physics / Quantum Theory. Diffusion processes. Quantum field theory. Stochastic processes.