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The complex coordinate scattering theroy and its application to the study of the surface asymmetry effect in helium diffraction from copper
Author(s) -
Peskin Uri,
Moiseyev Nimrod
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.560460303
Subject(s) - scattering , diffraction , chemistry , hamiltonian (control theory) , eigenvalues and eigenvectors , atomic physics , helium , asymmetry , copper , physisorption , molecular physics , physics , quantum mechanics , mathematical optimization , mathematics , organic chemistry , adsorption
Abstract The Complex Coordinate Scattering Theory is reformulated for the general case of a time‐independent Hamiltonian. It is applied to scattering of He atoms from a Cu(115) crystal surface by constracting the Green operator for the T‐matrix from the eigenvectors of both the complex scaled Hamiltonian and its transposed (“right” and “left” eigenvectors), which are different in this case. The weakly asymmetric corrugation function describing the (115) face of Cu is shown to cause a strong dependence of the calculated diffraction intensities upon the direction of the incident atomic beam. The calculated transition probabilities are in excellent agreement with the experimentally measured ones, previously obtained by Perreau and Lapujoulade. We show that additional information about the gas atom/surface physisorption interaction potential can be obtained if the incident angle of the atomic beam (the angles between the beam and the surface normal) is changed from γ to −γ. © 1993 John Wiley & Sons, Inc.