Stochastic Aspects of Classical and Quantum Systems (eBook, PDF)

Proceedings of the 2nd French-German Encounter in Mathematics and Physics, held in Marseille, France, March 28 - April 1, 1983
Redaktion: Albeverio, S.; Sirugue-Collin, M.; Combe, P.

• Format: PDF

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 227
• Erscheinungstermin: 5. Januar 2007
• Englisch
• ISBN-13: 9783540391388
• Artikelnr.: 53391936

Inhaltsangabe

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.