Analytical approach to the helium-atom ground state using correlated wavefunctions

被引：26

作者：

Bhattacharyya, S ^{[1
]}

Bhattacharyya, A ^{[1
]}

Talukdar, B ^{[1
]}

Deb, NC ^{[1
]}

机构：

[1] INDIAN ASSOC CULTIVAT SCI,DEPT THEORET PHYS,CALCUTTA 700032,W BENGAL,INDIA

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 1996年 / 29卷 / 05期

关键词：

D O I：

10.1088/0953-4075/29/5/003

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A realistic three-parameter correlated wavefunction is used to construct an exact analytical expression for the expectation value of the helium-atom Hamiltonian expressed in the interparticle coordinates. The parameters determined variationally are found to satisfy the orbital and correlation cusp conditions to a fair degree of accuracy and yield a value for the ground-state energy which is in good agreement with the exact result.

引用

页码：L147 / L150

页数：4

共 11 条

[1] 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
[2] FOURIER-TRANSFORM TECHNIQUE TO CALCULATE MATRIX-ELEMENTS IN THE BASIS OF HYDROGENIC WAVE-FUNCTIONS
DEB, NC
[J]. PHYSICA SCRIPTA, 1994, 49 (05): : 550 - 552
[3] CORRELATIONS OF 2 EXCITED ELECTRONS
FANO, U
[J]. REPORTS ON PROGRESS IN PHYSICS, 1983, 46 (02) : 97 - 165
[4] Hartree D, 1957, CALCULATION ATOMIC S
[5] HARTREE DR, 1933, MEM P MANCHESTER LIT, V77, P79
[6] HYLLERAAS EA, 1964, ADV QUANTUM CHEM, V1, P15
[7] New Calculation of the Energy of Helium in the Ground-State, and the deepest Terms of Ortho-Helium
Hylleraas, Egil A.
[J]. ZEITSCHRIFT FUR PHYSIK, 1929, 54 (5-6): : 347 - 366
[8] MIZUSHIMA M, 1970, QUANTUM MECHANICS AT
[9] Pluvinage P, 1950, ANN PHYS-NEW YORK, V5, P145
[10] CORRELATED ORBITALS FOR THE GROUND STATE OF HELIUMLIKE SYSTEMS
ROOTHAAN, CCJ
WEISS, AW
[J]. REVIEWS OF MODERN PHYSICS, 1960, 32 (02) : 194 - 205

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