Stochastic Processes in Quantum Theory and Statistical Physics

By: S. Albeverio (Editor), P. Combe (Editor), M. Sirugue-Collin (Editor)

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352 Pages

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Quantum theory and non-kolmogorovian probability.- Stochastic jump processes in the phase space representation of quantum mechanics.- Transformation of wiener integrals and the desingularization of Coulomb problem.- Dynamical systems with few degrees of freedom.- Laplace expansions of conditional wiener integrals and applications to quantum physics.- Stochastic processes and fermi fields.- Periodic orbits of dynamical systems with chaotic behavior.- The Van Hove limit in classical and quantum mechanics.- Large deviation asymptotics and the polaron.- All that Brownian motion.- The diffusion equation and classical mechanics: An elementary formula.- Stochasticity in non-equilibrium statistical mechanics.- A stochastic picture of spin.- On the statistical mechanics of surfaces.- A note on irreducibility and ergodicity of symmetric markov processes.- Momentum-position complementarity in stochastic mechanics.- Non-commutative martingales and stochastic integrals in fock space.- Some results on the spectra of random schrodinger operators and their application to random point interaction models in one and three dimensions.- Wiener measures for quantum mechanical path integrals.- Existence of a first-order phase transition for the Potts model.- Lagrangians with anticommuting arguments for dirac fields.- High-temperature path method for a two-dimensional random ising model.- Stochastic processes in music and art.- Hopping transport in disordered one-dimensional lattice systems: Random walk in a random medium.- Large scale behavior of equilibrium time correlation functions for some stochastic ising models.- Quantum dissipation and stochastic processes.

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