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
1. Auflage 1985
ISBN: 978-3-540-13914-0
Verlag: Springer

Buch, Englisch, Band 1109, 227 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 376 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Albeverio, S.

Combe, P.

Sirugue-Collin, M.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Naturwissenschaften Physik Mechanik
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik

Inhaltsverzeichnis

L'Equation de Schrödinger 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 Schrödinger operators and the density of states.- Ergodic properties of the Lozi map.- Proprietes spectrales pour des hamiltoniens presque-periodiques.- A solvable almost periodic Schrödinger 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 Schrödinger operator.- Reduction of non linear problems to Schrödinger or heat equations: Formation of kepler orbits, singular solutions for hydrodynamical equations.- Quantum mechanical low energy scattering in terms of diffusion processes.