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TitleStochastic Aspects of Classical and Quantum Systems [electronic resource] : Proceedings of the 2nd French-German Encounter in Mathematics and Physics, held in Marseille, France, March 28 - April 1, 1983 / edited by Sergio Albeverio, Philippe Combe, Madeleine Sirugue-Collin
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1985
Connect tohttp://dx.doi.org/10.1007/BFb0101532
Descript IX, 227 p. online resource

CONTENT

L'Equation de Schrรถdinger quand h tend vers zero; une approche probabiliste -- Rearrangement Gaussien de fonctions -- Electrons of a solid in an external electric field -- An intrinsic approach to the evolution of quantum observables in terms of stochastic processes on phase space -- Diffusions and central limit theorems -- Random Schrรถdinger operators and the density of states -- Ergodic properties of the Lozi map -- Proprietes spectrales pour des hamiltoniens presque-periodiques -- A solvable almost periodic Schrรถdinger operator -- On the absence of breakdown of symmetry for the plane rotator model with long range unbounded random interaction -- Stratonovich solution of a quantum stochastic differential equation describing light emission and absorption -- Analytic expansion of Lyapunov exponents associated to the Schrรถdinger operator -- Reduction of non linear problems to Schrรถdinger or heat equations: Formation of kepler orbits, singular solutions for hydrodynamical equations -- Quantum mechanical low energy scattering in terms of diffusion processes


Mathematics Probabilities Physics Mathematics Probability Theory and Stochastic Processes Theoretical Mathematical and Computational Physics



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