Semiclassical analysis and sensitivity to initial conditions
نویسنده
چکیده
We present several recent results concerning the transition between quantum and classical mechanics, in the situation where the underlying dynamical system has an hyperbolic behaviour. The special role of invariant manifolds will be emphasized, and the long time evolution will show how the quantum non-determinism and the classical chaotic sensitivity to initial conditions can be compared, and in a certain sense overlap.
منابع مشابه
تحلیل حساسیت، واسنجی و اعتبارسازی مدل یوروسم برای پیشبینی رواناب در حوزه آبخیز کارون جنوبی
Models are helpful tools to predict runoff, sediment and soil erosion in watershed conservation practices. The objectives of this research were to investigate sensitivity analysis, calibration and validation of EUROSEM model in estimation of runoff in Tangh-e-Ravagh sub-basin of Karoun watershed. The model was tested in a one hectare experimental test site. The area was divided into nine elemen...
متن کاملStatement of research interests
My research interests include Riemann-Hilbert approach to nonlinear integrable systems and WKB approximations with numerical studies of turning points and Stokes lines. These two areas have much in common, including numerical and topological analysis of level curves. My dissertation is on the second transition (second break) in the asymptotic solutions of the semiclassical focusing Nonlinear Sc...
متن کاملQuasiclassical dynamics methods from semiclassical approximations
A variety of quasiclassical approximations to quantum dynamical observables and correlation functions are obtained from rigorous semiclassical approximations. All expressions involve classical evolution of the probed dynamical variable with trajectory initial conditions sampled from an appropriate phase space density. The features of the derived approximations are illustrated through several mo...
متن کاملThe l1-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials
We study the l1-error of a Hamiltonian-preserving scheme, developed in [11], for the Liouville equation with a piecewise constant potential in one space dimension. This problem has important applications in computations of the semiclassical limit of the linear Schrödinger equation through barriers, and of the high frequency waves through interfaces. We use the l1-error estimates established in ...
متن کاملTrapping Rossby Waves
Waves associated to large scale oceanic motions are gravity waves (Poincaré waves which disperse fast) and quasigeostrophic waves (Rossby waves). In this Note, we show by semiclassical arguments, that Rossby waves can be trapped and we characterize the corresponding initial conditions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Inf. Comput.
دوره 207 شماره
صفحات -
تاریخ انتشار 2009