Numerical integration of the Kohn-Sham equations: Integral method for bound states

被引:0
|
作者
Roche, M [1 ]
机构
[1] Fac Sci, UMR 6517, Chim Theor Lab, F-13397 Marseille, France
关键词
Kohn-Sham equations; numerical integration; integral method;
D O I
10.1002/(SICI)1097-461X(1999)74:1<49::AID-QUA5>3.0.CO;2-D
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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. (C) 1999 John Wiley & Sons, Inc. Int J Quant Chem 74: 49-54, 1999.
引用
收藏
页码:49 / 54
页数:6
相关论文
共 50 条
  • [1] Kohn-Sham equations for multiplets
    Nagy, A
    PHYSICAL REVIEW A, 1998, 57 (03): : 1672 - 1677
  • [2] A NUMERICAL STUDY OF THE EXTENDED KOHN-SHAM GROUND STATES OF ATOMS
    Cances, Eric
    Mourad, Nahia
    COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE, 2018, 13 (02) : 139 - 188
  • [3] Guaranteed Convergence of the Kohn-Sham Equations
    Wagner, Lucas O.
    Stoudenmire, E. M.
    Burke, Kieron
    White, Steven R.
    PHYSICAL REVIEW LETTERS, 2013, 111 (09)
  • [4] Bypassing the Kohn-Sham equations with machine learning
    Brockherde, Felix
    Vogt, Leslie
    Li, Li
    Tuckerman, Mark E.
    Burke, Kieron
    Mueller, Klaus-Robert
    NATURE COMMUNICATIONS, 2017, 8
  • [5] On the Kohn-Sham equations with periodic background potentials
    Prodan, E
    Nordlander, P
    JOURNAL OF STATISTICAL PHYSICS, 2003, 111 (3-4) : 967 - 992
  • [6] Kohn-Sham equations for nanowires with direct current
    Kosov, DS
    JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (01): : 1 - 5
  • [7] AN IMPLEMENTATION OF THE COUPLED PERTURBED KOHN-SHAM EQUATIONS
    BERCES, A
    DICKSON, RM
    FAN, LY
    JACOBSEN, H
    SWERHONE, D
    ZIEGLER, T
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1995, 209 : 155 - PHYS
  • [8] On the Kohn-Sham Equations with Periodic Background Potentials
    E. Prodan
    P. Nordlander
    Journal of Statistical Physics, 2003, 111 : 967 - 992
  • [9] Bypassing the Kohn-Sham equations with machine learning
    Felix Brockherde
    Leslie Vogt
    Li Li
    Mark E. Tuckerman
    Kieron Burke
    Klaus-Robert Müller
    Nature Communications, 8
  • [10] A fast configuration space method for solving local Kohn-Sham equations
    Aichinger, M
    Krotscheck, E
    COMPUTATIONAL MATERIALS SCIENCE, 2005, 34 (02) : 188 - 212