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A parallel Green's operator for multidimensional quantum scattering calculations

✍ Scribed by Åke Edlund; Uri Peskin

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
198 KB
Volume
69
Category
Article
ISSN
0020-7608

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✦ Synopsis

A parallel algorithm for computing multidimensional scattering wave

Ž

. functions is introduced. The inhomogeneous scattering Lippmann᎐Schwinger equation is solved within the discrete variable representation with absorbing boundary conditions, Ž . using iterative Krylov methods. A parallel Green's operator enables one to distribute the wave function to orthogonal subspaces in which it is processed in parallel. Application to a model problem of electron scattering in a three-dimensional rectangular quantum wire is given. Speedup is demonstrated with an increasing number of processors and with increasing dimensions andror sampling density.

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