Stochastic Aspects of Classical and Quantum Systems
Proceedings of the 2nd French-German Encounter in Mathematics and Physics, held in Marseille, France, March 28 - April 1, 1983
Herausgegeben: Albeverio, S.; Combe, P.; Sirugue-Collin, M.
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L'Equation de Schr¿dinger 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 Schr¿dinger operators and the density of states.- Ergodic properties of the Lozi map.- Proprietes spectrales pour des hamiltoniens presque-periodiques.- A solvable almost periodic Schr¿dinger operator.- On the absence of breakdown of symmetry for the plane rotator mode...
L'Equation de Schr¿dinger 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 Schr¿dinger operators and the density of states.- Ergodic properties of the Lozi map.- Proprietes spectrales pour des hamiltoniens presque-periodiques.- A solvable almost periodic Schr¿dinger 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 Schr¿dinger operator.- Reduction of non linear problems to Schr¿dinger or heat equations: Formation of kepler orbits, singular solutions for hydrodynamical equations.- Quantum mechanical low energy scattering in terms of diffusion processes.
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