Summary: Proceedings in Applied Mathematics and Mechanics, 22 October 2007
Transparent boundary conditions for the 2D Schr¨odinger equation:
efficient implementation
Anton Arnold1
and Maike Schulte2
1
Institut f¨ur Analysis und Scientific Computing, Technische Universit¨at Wien, Wiedner Hauptstr. 8, A-1040 Wien, Austria
2
Institut f¨ur Angewandte und Numerische Mathematik, Westf¨alische Wilhelms-Universit¨at M¨unster, Einsteinstr. 62, D-48149
M¨unster, Germany
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1 Transparent boundary conditions for the 2D Schr¨odinger equation
We consider the 2D time-dependent Schr¨odinger equation on the infinite stripe ~ = R × (0, Y ):
i

t
(x, y, t) = -
1
2
+ V (x, y, t) (x, y, t), t > 0,

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

Collections: Mathematics