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Stochastic Processes in Classical and Quantum Systems

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Cover of 'Stochastic Processes in Classical and Quantum Systems'

Table of Contents

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    Book Overview
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    Chapter 49 Random fields with values in Lie groups and Higgs fields
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    Chapter 50 Stochastic processes and continual measurements in quantum mechanics
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    Chapter 51 Stability and chaotic behavior of quantum rotators
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    Chapter 52 Regular and chaotic motions near resonances in quasi-integrable Hamiltonian systems
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    Chapter 53 Fluctuations in numbers of energy levels
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    Chapter 54 A Poincaré-Birkhoff-type result in higher dimensions
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    Chapter 55 Stochastic jump processes associated with Dirac equation
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    Chapter 56 Jump processes in quantum theories
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    Chapter 57 Pathwise conservation law for stationary diffusion processes
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    Chapter 58 Stochastic variational principle and diffusion processes
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    Chapter 59 Spectral fluctuations, random matrix theories and chaotic motion
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    Chapter 60 The pathwise description of quantum scattering in stochastic mechanics
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    Chapter 61 Integral representation of covariant observables
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    Chapter 62 Some remarks on the subsequence principle in probability theory
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    Chapter 63 A route to stochastic mechanics
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    Chapter 64 Quantum fields on a gravitational background from random fields on Riemannian manifolds
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    Chapter 65 Time reversal and smoothing of infinite — dimensional diffusion processes
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    Chapter 66 On the motion of an impurity in an infinite harmonic crystal
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    Chapter 67 Quantum stochastic integration in certain partial *-algebras
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    Chapter 68 A non-renormalizable planar field theory
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    Chapter 69 An invariant torus for nearly integrable Hamiltonian systems with infinitely many degrees of freedom
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    Chapter 70 The problem of energy partition in the light of classical perturbation theory and the possibility of introducing a critical action in the classical theory of the electromagnetic field
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    Chapter 71 On the ϕ 4 4 -problem
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    Chapter 72 Indeterminacy relations in stochastic mechanics
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    Chapter 73 Gibbs states and spontaneous symmetry breakdown
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    Chapter 74 Stochastic equations for some Euclidean fields
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    Chapter 75 A class of mean-field-like models of disordered systems
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    Chapter 76 The grand-canonical surface tension and its convergence to the SOS limit in the two-dimensional Ising model
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    Chapter 77 Stochastic quantization
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    Chapter 78 On measures of information for continuous stochastic processes
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    Chapter 79 Nonstandard energy forms and diffusions on manifolds and fractals
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    Chapter 80 Some results on the Euler and Vlasov-Poison flows
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    Chapter 81 Dirichlet forms defined by Riemannian flags and applications
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    Chapter 82 A rigorous analysis of Anderson localization
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    Chapter 83 A finite approximation to boson Fock space
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    Chapter 84 An extension of Kotani's theorem to random generalized Sturm-Liouville operators II
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    Chapter 85 Path-wise calculus of variations in stochastic mechanics
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    Chapter 86 Macroscopic, intermediate, microscopic and mesons
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    Chapter 87 Field theory and the future of stochastic mechanics
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    Chapter 88 Hamiltonian models for the Madelung fluid and generalized Langevin equations
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    Chapter 89 Quantum mechanics with stochastic time dependent potentials
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    Chapter 90 Coexistence of attracting and conservative features in reversible dynamical systems
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    Chapter 91 Relationship between dynamic, quantum and classical critical phenomena
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    Chapter 92 Stable distributions: Fox function representation and generalization
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    Chapter 93 The geodesic mappings in Riemannian and pseudo-Riemannian manifolds
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    Chapter 94 Variational processes
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    Chapter 95 Levels of structure and function in neurobiology
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    Chapter 96 Forma matematica e realtà fisica
Attention for Chapter 56: Jump processes in quantum theories
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Citations

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Chapter title
Jump processes in quantum theories
Chapter number 56
Book title
Stochastic Processes in Classical and Quantum Systems
Published in
ADS, January 1986
DOI 10.1007/3540171665_56
Book ISBNs
978-3-54-017166-9, 978-3-54-047222-3
Authors

Ph. Blanchard, Ph. Combe, M. Sirugue, M. Sirugue-Collin, Blanchard, Ph., Combe, Ph., Sirugue, M., Sirugue-Collin, M.