The nodes of Hartree-Fock wavefunctions and their orbitals

被引:21
作者
Hachmann, J
Galek, PTA
Yanai, T
Chan, GKL
Handy, NC
机构
[1] Univ Cambridge, Dept Chem, Ctr Computat Chem, Cambridge CB2 1EW, England
[2] Univ Jena, Inst Chem Phys, Arbitsgrp Theoret Chem, D-07743 Jena, Germany
[3] Oak Ridge Natl Lab, Comp Sci & Math Div, Computat Chem Sci Grp, Oak Ridge, TN 37831 USA
关键词
D O I
10.1016/j.cplett.2004.04.070
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
Hartree-Fock generated orbitals and wavefunctions feature nodes and nodal artefacts due to theory and different aspects of practical computation (basis set truncation and arrangement, as well as convergence limitations). We find that nodal artefacts occur even in high precision near complete basis set limit calculations. The beryllium atom is studied in detail. The consequences of our discussions have implications for Quantum Monte Carlo studies and the numerical investigation of fermion nodes. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:55 / 61
页数:7
相关论文
共 27 条
[1]  
ALEK PTA, 2003, CPGS REPORT
[2]  
AMOS RD, 2001, CADPAC CAMBRIDGE ANA
[3]   QUANTUM CHEMISTRY BY RANDOM-WALK - H2P,H+3D3H1A'1,H-23-SIGMA+U,H-41-SIGMA+G,BE1S [J].
ANDERSON, JB .
JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (10) :4121-4127
[4]   RANDOM-WALK SIMULATION OF SCHRODINGER EQUATION - H+3 [J].
ANDERSON, JB .
JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (04) :1499-1503
[5]   SYMMETRY OF THE NODAL HYPERSURFACE FOR 1S2P 3P HELIUM [J].
ANDERSON, JB .
PHYSICAL REVIEW A, 1987, 35 (08) :3550-3553
[6]  
Bressanini D., 2002, RECENT ADV QUANTUM 2, P3
[7]   FERMION NODES [J].
CEPERLEY, DM .
JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (5-6) :1237-1267
[8]   EFFICIENT DIFFUSE FUNCTION-AUGMENTED BASIS SETS FOR ANION CALCULATIONS. III. THE 3-21+G BASIS SET FOR FIRST-ROW ELEMENTS, LI-F [J].
CLARK, T ;
CHANDRASEKHAR, J ;
SPITZNAGEL, GW ;
SCHLEYER, PV .
JOURNAL OF COMPUTATIONAL CHEMISTRY, 1983, 4 (03) :294-301
[9]   AB INITIO COMPUTATIONS IN ATOMS AND MOLECULES [J].
CLEMENTI, E .
IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1965, 9 (01) :2-&