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Efficient computation of Wigner–Eisenbud functions

Bahaaudin M. Raffah
Paul Abbott
Organization: University of Western Australia
Department: Physics
URL: http://www.uwa.edu.au/people/paul.c.abbott
Journal / Anthology

Computer Physics Communications
Year: 2013
Volume: 184
Page range: 1581–1591

The R-matrix method, introduced by Wigner and Eisenbud (1947) [1], has been applied to a broad range of electron transport problems in nanoscale quantum devices. With the rapid increase in the development and modeling of nanodevices, efficient, accurate, and general computation of Wigner–Eisenbud functions is required. This paper presents the Mathematica package WignerEisenbud, which uses the Fourier discrete cosine transform to compute the Wigner–Eisenbud functions in dimensionless units for an arbitrary potential in one dimension, and two dimensions in cylindrical coordinates.

*Science > Physics