Linear expansions of correlated functions: Variational Monte Carlo case study

被引:0
作者
Bertini, L
Bressanini, D
Mella, M
Morosi, G
机构
[1] Univ Milan, Dipartimento Chim Fis & Elettrochim, I-20133 Milan, Italy
[2] Univ Insubria, Dipartimento Sci Chim Fis & Matemat, I-22100 Como, Italy
关键词
correlated wave functions; quantum Monte Carlo; variational Monte Carlo; variance optimization; few-electron systems;
D O I
10.1002/(SICI)1097-461X(1999)74:1<23::AID-QUA3>3.3.CO;2-U
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
The relative performance of trial wave functions expressed as linear combination of correlated exponentials has been tested on a variety of systems. The results are compared against other correlated functions commonly used in the literature to assess the capabilities of the proposed ansatz. A possible departure from the simple exponential functional form used in previous works is discussed, along with its advantages and drawbacks. We also discuss how to implement an efficient optimization procedure for this correlated basis set. (C) 1999 John Wiley & Sons, Inc. Int J Quant Chem 73: 23-33, 1999.
引用
收藏
页码:23 / 33
页数:11
相关论文
共 35 条
[1]   OBTAINING MICROHARTREE ACCURACY FOR 2-ELECTRON SYSTEMS WITH RANDOM-TEMPERED GAUSSIAN-TYPE GEMINALS [J].
ALEXANDER, SA ;
MONKHORST, HJ ;
ROELAND, R ;
SZALEWICZ, K .
JOURNAL OF CHEMICAL PHYSICS, 1990, 93 (06) :4230-4235
[2]   THE INTEGRAL FORMULAE FOR THE VARIATIONAL SOLUTION OF THE MOLECULAR MANY-ELECTRON WAVE EQUATION IN TERMS OF GAUSSIAN FUNCTIONS WITH DIRECT ELECTRONIC CORRELATION [J].
BOYS, SF .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 258 (1294) :402-411
[3]   Nonadiabatic wavefunctions as linear expansions of correlated exponentials. A quantum Monte Carlo application to H-2(+) and Ps(2) [J].
Bressanini, D ;
Mella, M ;
Morosi, G .
CHEMICAL PHYSICS LETTERS, 1997, 272 (5-6) :370-375
[4]   Stability of four-unit-charge systems: A quantum Monte Carlo study [J].
Bressanini, D ;
Mella, M ;
Morosi, G .
PHYSICAL REVIEW A, 1997, 55 (01) :200-205
[5]   MANY-ELECTRON CORRELATED EXPONENTIAL WAVE-FUNCTIONS - A QUANTUM MONTE-CARLO APPLICATION TO H-2 AND HE-2(+) [J].
BRESSANINI, D ;
MELLA, M ;
MOROSI, G .
CHEMICAL PHYSICS LETTERS, 1995, 240 (5-6) :566-570
[6]   OPTIMIZATION OF QUANTUM MONTE-CARLO WAVE-FUNCTIONS USING ANALYTICAL DERIVATIVES [J].
BUECKERT, H ;
ROTHSTEIN, SM ;
VRBIK, J .
CANADIAN JOURNAL OF CHEMISTRY-REVUE CANADIENNE DE CHIMIE, 1992, 70 (02) :366-371
[7]   MANY-ELECTRON EXPLICITLY CORRELATED GAUSSIAN FUNCTIONS .2. GROUND-STATE OF THE HELIUM MOLECULAR ION HE-2(+) [J].
CENCEK, W ;
RYCHLEWSKI, J .
JOURNAL OF CHEMICAL PHYSICS, 1995, 102 (06) :2533-2538
[8]   MANY-ELECTRON EXPLICITLY CORRELATED GAUSSIAN FUNCTIONS .1. GENERAL-THEORY AND TEST-RESULTS [J].
CENCEK, W ;
RYCHLEWSKI, J .
JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (02) :1252-1261
[9]   MONTE-CARLO SIMULATION OF A MANY-FERMION STUDY [J].
CEPERLEY, D ;
CHESTER, GV ;
KALOS, MH .
PHYSICAL REVIEW B, 1977, 16 (07) :3081-3099
[10]   STUDIES ON ORDERED MESOPOROUS MATERIALS .3. COMPARISON OF MCM-41 TO MESOPOROUS MATERIALS DERIVED FROM KANEMITE [J].
CHEN, CY ;
XIAO, SQ ;
DAVIS, ME .
MICROPOROUS MATERIALS, 1995, 4 (01) :1-20