Efficient computation of Wigner-Eisenbud functions. The R-matrix method, introduced by E. P. Wigner and L. Eisenbud [“Higher angular momenta and long range interaction in resonance reactions”, Phys. Rev. 72, No. 1, 29 p. (1947; doi:10.1103/PhysRev.72.29)], 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.

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  1. Raffah, Bahaaudin M.; Abbott, Paul C.: Efficient computation of Wigner-Eisenbud functions (2013)