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

[1] COORDINATE SYSTEMS AND ANALYTIC EXPANSIONS FOR 3-BODY ATOMIC WAVE-FUNCTIONS .1. PARTIAL SUMMATION FOR THE FOCK EXPANSION IN HYPERSPHERICAL COORDINATES
ABBOTT, PC
MASLEN, EN
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (08): : 2043 - 2075
[2] A MODEL WAVE-FUNCTION INCLUDING ELECTRON CORRELATION FOR THE GROUND-STATE OF THE HELIUM ISOELECTRONIC SEQUENCE
ABBOTT, PC
MASLEN, EN
[J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1986, 19 (11) : 1595 - 1605
[3] BAKER J, 1988, AIP C P, V189, P123
[4] RADIUS OF CONVERGENCE AND ANALYTIC BEHAVIOR OF THE 1/Z EXPANSION
BAKER, JD
FREUND, DE
HILL, RN
MORGAN, JD
[J]. PHYSICAL REVIEW A, 1990, 41 (03): : 1247 - 1273
[5] The helium wave equation
Bartlett, JH
[J]. PHYSICAL REVIEW, 1937, 51 (08): : 0661 - 0669
[6] The normal helium atom
Bartlett, JH
Gibbons, JJ
Dunn, CG
[J]. PHYSICAL REVIEW, 1935, 47 (09): : 0679 - 0680
[7] COURANT R, 1962, METHODS MATH PHYSICS, V2, P242
[8] PSI-2,0 IN FOCK EXPANSION FOR HE S-1 STATE WAVEFUNCTIONS
DAVID, CW
[J]. JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (05) : 2041 - 2044
[9] Ermolaev A. M., 1964, SOV PHYS DOKL, V9, P292
[10] Ermolaev A. M., 1961, VEST LEN U, V16, P19

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