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.

By: (2nd : French-German Encounter in Mathematics and Physics (2nd : 1983 : Marseille, France)
Contributor(s): Albeverio, Sergio | Combe, Philippe, 1940- | Sirugue-Collin, M. (Madeleine), 1936-
Material type: TextTextLanguage: English, French Series: Lecture notes in mathematics (Springer-Verlag): 1109.Publisher: Berlin ; New York : Springer-Verlag, 1985Description: 1 online resource (viii, 227 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540391388; 354039138XSubject(s): Stochastic processes -- Congresses | Quantum theory -- Congresses | Processus stochastiques -- Congrès | Théorie quantique -- Congrès | Quantum theory | Stochastic processes | Stochastischer Prozess | Quantenmechanik | Kongress | Quantentheorie | MechanikGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Stochastic aspects of classical and quantum systems.DDC classification: 510 s | 530.1/592 LOC classification: QA3 | .L28 no. 1109 | QC20.7.S8Online resources: Click here to access online
Contents:
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.
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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.

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