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Absorption of waves by complex surface layers in the solution of the Schrödinger equation by finite difference methods

✍ Scribed by Norbert Grün; Werner Scheid

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
345 KB
Volume
30
Category
Article
ISSN
0010-4655

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✦ Synopsis

For the solution of the Schrodinger equation by finite difference methods on a grid of mesh points we introduce complex potentials at the points near the boundaries, which minimize the reflection of the waves by the boundaries. This procedure simulates a transparency for the waves through the boundaries. Test calculations in one dimension with Gaussian wave packets demonstrate the applicability of the method.

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