Efficient computation of Wigner–Eisenbud functions

Published: 1 June 2013| Version 1 | DOI: 10.17632/4g8r5x876k.1
Bahaaudin M. Raffah, Paul C. Abbott


Abstract 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 fo... Title of program: WignerEisenbud Catalogue Id: AEOU_v1_0 Nature of problem Computing the 1D and 2D Wigner-Eisenbud functions for arbitrary potentials using the DCT. Versions of this program held in the CPC repository in Mendeley Data AEOU_v1_0; WignerEisenbud; 10.1016/j.cpc.2012.12.027 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)



Surface Science, Condensed Matter Physics, Computational Physics, Computer Algebra System, Computational Method