A01=Edward Nelson
Acceleration
Affine connection
Angular velocity
Author_Edward Nelson
Bell's theorem
Big O notation
Bose-Einstein statistics
Category=PH
Conditional expectation
Configuration space
Coordinate system
Degrees of freedom (statistics)
Differentiable manifold
Diffusion process
Dimension
Electromagnetic field
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eq_isMigrated=2
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Equation
Equations of motion
Gauge theory
Gaussian process
Harmonic oscillator
Hidden variable theory
Imaginary time
Infinitesimal generator (stochastic processes)
Initial condition
Kinetic energy
Lagrangian (field theory)
Lagrangian mechanics
Linear map
Local coordinates
Markov chain
Markov process
Markov random field
Measurement
Modern physics
Momentum
Observable
Partial differential equation
Path space
Pauli equation
Point particle
Prediction
Probability
Probability distribution
Probability measure
Probability space
Probability theory
Proportionality (mathematics)
Quantum fluctuation
Quantum mechanics
Random variable
Requirement
Riemannian manifold
Scalar (physics)
Scalar potential
Schrodinger equation
Self-adjoint operator
Singlet state
Smoothness
Stern-Gerlach experiment
Stochastic
Stochastic calculus
Stochastic process
Tensor
Theorem
Theory
Thermal fluctuations
Variational principle
Velocity
Wave function
Weighting
Wiener process
Product details
- ISBN 9780691083797
- Weight: 227g
- Dimensions: 152 x 229mm
- Publication Date: 21 May 1985
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
