FOCKS EXPANSION, KATOS CUSP CONDITIONS, AND THE EXPONENTIAL ANSATZ

被引：90

作者：

MYERS, CR

UMRIGAR, CJ

SETHNA, JP

MORGAN, JD

机构：

[1] CORNELL UNIV, ATOM & SOLID STATE PHYS LAB, ITHACA, NY 14853 USA

[2] CORNELL UNIV, CORNELL THEORY CTR, ITHACA, NY 14853 USA

[3] HARVARD SMITHSONIAN CTR ASTROPHYS, INST THEORET ATOM & MOLEC PHYS, CAMBRIDGE, MA 02138 USA

[4] HARVARD UNIV, DEPT PHYS, CAMBRIDGE, MA 02138 USA

[5] HARVARD UNIV, DEPT CHEM, CAMBRIDGE, MA 02138 USA

[6] UNIV DELAWARE, DEPT PHYS & ASTRON, NEWARK, DE 19716 USA

来源：

PHYSICAL REVIEW A | 1991年 / 44卷 / 09期

关键词：

D O I：

10.1103/PhysRevA.44.5537

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We have examined the recent solution of the Fock expansion through O(r2) for the ground state of the helium atom and have verified that it correctly treats the discontinuity in the local energy characteristic of the triple-collision point. We have also developed an exponential representation of the Fock expansion that satisfies Kato's cusp conditions for two-particle collisions even when the expansion is truncated at a finite order.

引用

页码：5537 / 5546

页数：10

共 40 条

[21] ON THE EIGENFUNCTIONS OF MANY-PARTICLE SYSTEMS IN QUANTUM MECHANICS
KATO, T
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (02) : 151 - 177
[22] GROUND STATE OF THE HELIUM ATOM .2.
KINOSHITA, T
[J]. PHYSICAL REVIEW, 1959, 115 (02): : 366 - 374
[23] RATES OF CONVERGENCE OF VARIATIONAL CALCULATIONS AND OF EXPECTATION VALUES
KLAHN, B
MORGAN, JD
[J]. JOURNAL OF CHEMICAL PHYSICS, 1984, 81 (01) : 410 - 433
[24] THE ATOMIC 3-BODY PROBLEM - AN ACCURATE LOWER BOND CALCULATION USING WAVE-FUNCTIONS WITH LOGARITHMIC TERMS
KLEINDIENST, H
EMRICH, R
[J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1990, 37 (03) : 257 - 269
[25] LERAY J, 1982, 6EME C GROUP MATH EX, P179
[26] APPLICATION OF FOCK EXPANSION TO DOUBLY EXCITED STATES OF HELIUM ATOM
MACEK, JH
[J]. PHYSICAL REVIEW, 1967, 160 (01): : 170 - &
[27] MASLEN EN, COMMUNICATION
[28] EXACT WAVE-FUNCTIONS FOR FEW-PARTICLE SYSTEMS - THE CHOICE OF EXPANSION FOR COULOMB POTENTIALS
MCISAAC, K
MASLEN, EN
[J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1987, 31 (03) : 361 - 368
[29] CONVERGENCE PROPERTIES OF FOCK EXPANSION FOR S-STATE EIGENFUNCTIONS OF THE HELIUM ATOM
MORGAN, JD
[J]. THEORETICA CHIMICA ACTA, 1986, 69 (03): : 181 - 223
[30] NOR K, 1958, VIDENSK SELSK FORH, V31, P138

← 1 2 3 4 →