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Numerical integration of the Kohn–Sham equations: Integral method for bound states
Author(s) -
Roche Michel
Publication year - 1999
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/(sici)1097-461x(1999)74:1<49::aid-qua5>3.0.co;2-d
Subject(s) - eigenvalues and eigenvectors , iterative method , diatomic molecule , wave function , mathematics , integral equation , mathematical analysis , physics , quantum mechanics , algorithm , molecule
A numerical method is presented that solves the multicenter Kohn–Sham equations. The method couples the resolution of the integral form of the equation at a given energy with an iterative search for the eigenvalues. The validity of the method is checked by comparing some test calculations for diatomics with results in the literature from other numerical methods. For these calculations the wave functions are expanded in partial waves either on one center or on two centers with the help of the partitioning of space in fuzzy cells. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 74: 49–54, 1999