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


SUBJECT

  1. Mathematics
  2. Probabilities
  3. Physics
  4. Mathematics
  5. Probability Theory and Stochastic Processes
  6. Theoretical
  7. Mathematical and Computational Physics