HIGH-ACCURACY EIGENVALUES FOR THE STATIC SCREENED COULOMB POTENTIAL

被引:18
作者
LAM, CS
VARSHNI, YP
机构
[1] Department of Physics, University of Ottawa
来源
PHYSICAL REVIEW A | 1979年 / 19卷 / 01期
关键词
D O I
10.1103/PhysRevA.19.413
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A relatively simple variational wave function is proposed for the ground state of two particles bound by a static screened Coulomb potential. It is shown that it gives eigenvalues of high accuracy in the low- and medium-screening regions, and of fair accuracy in the high-screening region. © 1979 The American Physical Society.
引用
收藏
页码:413 / 415
页数:3
相关论文
共 12 条
[1]   BOUND-STATE ENERGIES OF EXPONENTIALLY SCREENED STATIC AND COSINE COULOMBIC POTENTIALS [J].
BESSIS, N ;
BESSIS, G ;
CORBEL, G ;
DAKHEL, B .
JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (09) :3744-3749
[2]   SO(2,1) AND HULTHEN POTENTIAL [J].
DUNLAP, BI ;
ARMSTRONG, L .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1972, 6 (04) :1370-+
[3]   The theory and calculation of screening constants [J].
Eckart, C .
PHYSICAL REVIEW, 1930, 36 (05) :0878-0892
[4]   VARIATIONAL WAVE-FUNCTIONS FOR A SCREENED COULOMB POTENTIAL [J].
GREENE, RL ;
ALDRICH, C .
PHYSICAL REVIEW A, 1976, 14 (06) :2363-2366
[5]   ENERGIES OF S EIGENSTATES IN A STATIC SCREENED COULOMB POTENTIAL [J].
LAM, CS ;
VARSHNI, YP .
PHYSICAL REVIEW A, 1971, 4 (05) :1875-&
[6]   A SIMPLEX-METHOD FOR FUNCTION MINIMIZATION [J].
NELDER, JA ;
MEAD, R .
COMPUTER JOURNAL, 1965, 7 (04) :308-313
[7]   BOUND EIGENSTATES OF STATIC SCREENED COULOMB POTENTIAL [J].
ROGERS, FJ ;
GRABOSKE, HC ;
HARWOOD, DJ .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 1 (06) :1577-+
[8]   VARIATIONAL SOLUTION OF SCHRODINGERS EQUATION FOR STATIC SCREENED COULOMB POTENTIAL [J].
ROUSSEL, KM ;
OCONNELL, RF .
PHYSICAL REVIEW A, 1974, 9 (01) :52-56
[9]   On the lower bounds of Weinstein and Romberg in quantum mechanics [J].
Stevenson, AF .
PHYSICAL REVIEW, 1938, 53 (02) :199-199
[10]   A lower limit for the theoretical energy of the normal state of helium [J].
Stevenson, AF ;
Crawford, MF .
PHYSICAL REVIEW, 1938, 54 (05) :375-379