Resolution of Schrödinger's equation for a scattering problem by a finite‐element method | Zendy

Laloyaux Th. | Zendy; Vigneron J.P. | Zendy; Lambin Ph. | Zendy; Derycke I. | Zendy; Lucas A. A. | Zendy

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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.

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