VARIATIONAL CALCULATIONS FOR HIGH-S-3 STATES IN HE WITH B-SPLINE BASIS FUNCTIONS

被引:25
作者
CHEN, MK [1 ]
HSUE, CS [1 ]
机构
[1] NATL TSING HUA UNIV,DEPT PHYS,HSINCHU 30043,TAIWAN
关键词
D O I
10.1088/0953-4075/25/20/005
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A variational configuration interaction calculation was carried out with the basis functions constructed from B splines to obtain the energies for the n3S series in He for n = 8-13. The calculated energies converge to within an uncertainty of 10(-8) au, and agree with previous highly accurate results within 10(-7) au. The accuracy of our results does not deteriorate with increasing principal quantum number. It would be expected that the more highly excited states of He can be accurately calculated by these basis functions. We also calculated the radial expectation values, the mass polarization effect, and the expectation values of delta(r1). Our present approach provided results, which are comparable to previous highly accurate results, where the coordinate r12 is explicitly used.
引用
收藏
页码:4059 / 4067
页数:9
相关论文
共 25 条
[1]   S AND P STATES OF HELIUM ISOELECTRONIC SEQUENCE UP TO Z = 10 [J].
ACCAD, Y ;
PEKERIS, CL ;
SCHIFF, B .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 4 (02) :516-&
[2]   NEW APPROACH TO HYPERFINE-STRUCTURE - APPLICATION TO THE LI GROUND-STATE [J].
BHATIA, AK ;
SUCHER, J .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1980, 13 (13) :L409-L413
[3]   RELATIVISTIC ALL-ORDER EQUATIONS FOR HELIUM [J].
BLUNDELL, SA ;
JOHNSON, WR ;
LIU, ZW ;
SAPIRSTEIN, J .
PHYSICAL REVIEW A, 1989, 39 (08) :3768-3775
[4]  
Boor CD., 1978, PRACTICAL GUIDE SPLI
[5]   RELATIVISTIC THEORY OF FERMIONS AND CLASSICAL FIELDS ON A COLLOCATION LATTICE [J].
BOTTCHER, C ;
STRAYER, MR .
ANNALS OF PHYSICS, 1987, 175 (01) :64-111
[6]   RADIATIVE LIFETIMES OF THE BOUND EXCITED-STATES OF MAGNESIUM AND BERYLLIUM [J].
CHANG, TN .
PHYSICAL REVIEW A, 1990, 41 (09) :4922-4929
[7]   ENERGY-LEVELS AND THE OSCILLATOR-STRENGTHS OF THE BE ATOM DETERMINED BY A CONFIGURATION-INTERACTION CALCULATION WITH A FINITE BASIS SET FROM B-SPLINES [J].
CHANG, TN .
PHYSICAL REVIEW A, 1989, 39 (10) :4946-4955
[8]   NONUNIFORM VARIATION OF THE RADIATIVE LIFETIMES OF BOUND EXCITED-STATES ALONG THE MG ISOELECTRONIC SEQUENCE [J].
CHANG, TN ;
WANG, RQ .
PHYSICAL REVIEW A, 1991, 44 (01) :80-89
[9]   EFFECT OF POSITIVE-ENERGY ORBITALS ON THE CONFIGURATION-INTERACTION CALCULATION OF THE H- ATOM [J].
CHANG, TN ;
WANG, RQ .
PHYSICAL REVIEW A, 1991, 43 (03) :1218-1222
[10]   HYPERFINE SPLITTING IN MUONIC HE-4 AND HE-3 ATOMS - A GLOBAL-OPERATOR APPROACH [J].
CHEN, MK .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1990, 23 (21) :4041-4049