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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書誌事項
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
（Lecture notes in mathematics, 1109）
Springer-Verlag, 1985
- : gw
- : us
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注記
English and French
Includes bibliographies
内容説明・目次
目次
- 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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