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WignerEisenbud

swMATH ID: 10351
Software Authors: Raffah, Bahaaudin M.; Abbott, Paul C.
Description: 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.
Homepage: http://cpc.cs.qub.ac.uk/summaries/AEOU_v1_0.html
Dependencies: Mathematica
Keywords: Wigner-Eisenbud functions; discrete cosine transform (DCT); semiconductor heterostructures; quantum transport; cylindrical nanowires
Related Software: DLMF; FFTW; Mathematica
Cited in: 1 Publication

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