|The Schroedinger's density and the Talbot's effect|
In the talk, self-similarity properties of the solutions of
Schroedinger type equations with the periodic initial data
functions will be discussed. The focus will be on the density
generated by the solution of the free particle equation,
with the Jacobi's theta function as the initial data.
The 3d graph is a rather rugged landscape, which is
criss-crossed by a set of deep rectilinear canyons, fairly well-organized
(the valleys of shadow). Theorems explaining this peculiarity
will be presented.
|Web page: Maxim Braverman|
|Posted: January 17, 2005||URL: http://www.math.neu.edu/bhmn/Oskolkov05.html|