Now showing items 1-2 of 2
Mathematical and computational methods for semiclassical Schrödinger equations
(Cambridge University Press, 2011-05)
We consider time-dependent (linear and nonlinear) Schr¨odinger equations in a semiclassical scaling. These equations form a canonical class of (nonlinear) dispersive models whose solutions exhibit high-frequency oscillations. ...
On The Dynamics of Bohmian Measures
(Springer Verlag, 2012)
The present work is devoted to the study of dynamical features of Bohmian measures, recently introduced by the authors. We rigorously prove that for su ciently smooth wave functions the corresponding Bohmian measure furnishes ...