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

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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

edited by S. Albeverio, Ph. Combe, and M. Sirugue-Collin

（Lecture notes in mathematics, 1109）

Springer-Verlag, 1985

  • : gw
  • : us

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English and French

Includes bibliographies

Description and Table of Contents

Table of Contents

  • L'Equation de Schroedinger 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 Schroedinger operators and the density of states.- Ergodic properties of the Lozi map.- Proprietes spectrales pour des hamiltoniens presque-periodiques.- A solvable almost periodic Schroedinger 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 Schroedinger operator.- Reduction of non linear problems to Schroedinger 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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