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   COLLOQUIUM OF THE LABORATORY FOR COMPUTER DESIGN OF MATERIALS
                   School of Computational Sciences
                           (CSI 898-Sec 001)
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           The Discrete Variable Method for the Solution of the
                  Time-Dependent Schroedinger Equation

                             Barry I. Schneider
    Physics Division, National Science Foundation, Arlington,VA and 
                 Electron and Optical Physics Division, 
   National Institute of Standards and Technology,Gaithersburg, MD 

 A solution of the time-dependent Schroedinger equation (TDSE) is 
required in a variety of problems in physics and chemistry.  These 
include atoms and molecules in time dependent electromagnetic fields, 
a variety of atomic collision problems and in describing the behavior 
of materials subjected to internal and external forces. In many 
situations, especially at the nanoscale level, the evolution of the 
physical system occurs over multiple length and time scales and a 
computationally efficient approach is a necessity to make progress.
This talk will begin by introducing the Discrete Variable Method (DVR) 
as an extremely efficient tool to discretize the spatial variables in 
the Schroedinger equation.  Once that is accomplished, I will turn to 
methods to propagate those solutions in time which are efficient and 
tailored to exploit this DVR representation.

                         Monday , February 16, 2004
                                  4:30 pm
                        Room 206, Science & Tech. I

Refreshments will be served at 4:15 PM.
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Find the schedule at http://www.scs.gmu.edu/lcdm/seminar/schedule.html
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