Leseprobe
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Quantum Fluctuations
Edward Nelson
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
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.
Kundenbewertungen
Infinitesimal generator (stochastic processes), Equations of motion, Riemannian manifold, Weighting, Schrödinger equation, Probability theory, Markov chain, Probability measure, Prediction, Gauge theory, Partial differential equation, Wiener process, Degrees of freedom (statistics), Scalar potential, Kinetic energy, Point particle, Conditional expectation, Harmonic oscillator, Angular velocity, Initial condition, Thermal fluctuations, Quantum fluctuation, Pauli equation, Differentiable manifold, Electromagnetic field, Lagrangian mechanics, Probability, Scalar (physics), Variational principle, Observable, Acceleration, Measurement, Probability space, Proportionality (mathematics), Stochastic, Path space, Coordinate system, Markov process, Smoothness, Dimension, Velocity, Diffusion process, Modern physics, Configuration space, Linear map, Lagrangian (field theory), Momentum, Wave function, Hidden variable theory, Local coordinates, Bose–Einstein statistics, Theorem, Stochastic calculus, Gaussian process, Bell's theorem, Markov random field, Singlet state, Requirement, Quantum mechanics, Self-adjoint operator, Affine connection, Equation, Stochastic process, Big O notation, Imaginary time, Theory, Random variable, Tensor, Stern–Gerlach experiment, Probability distribution