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Resolution of Schrödinger's equation for a scattering problem by a finite‐element method
Author(s) -
Laloyaux Th.,
Vigneron J.P.,
Lambin Ph.,
Derycke I.,
Lucas A. A.
Publication year - 1993
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560450613
Subject(s) - scattering , finite element method , wave function , quantum tunnelling , schrödinger equation , physics , function (biology) , mathematical analysis , scattering theory , quantum mechanics , mathematical physics , mathematics , evolutionary biology , biology , thermodynamics
We present a new numerical method for solving the Schrödinger equation in the case of scattering or tunneling states. As an example, we study a model of the scanning tunneling microscope. The method uses a finite‐element approximation of the wave function in the region of the scattering potential. From the wave function that we obtain, we derive the tunnel current density. © 1993 John Wiley & Sons, Inc.