DIRECT NUMERICAL-SOLUTION OF THE SCHRODINGER-EQUATION FOR QUANTUM SCATTERING PROBLEMS

被引:38
作者
BOTERO, J
SHERTZER, J
机构
[1] OAK RIDGE NATL LAB, OAK RIDGE, TN 37831 USA
[2] COLL HOLY CROSS, DEPT PHYS, WORCESTER, MA 01610 USA
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 03期
关键词
D O I
10.1103/PhysRevA.46.R1155
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A direct numerical solution of the Schrodinger equation for quantum scattering problems is presented. The wave function for each partial wave is expanded in coupled spherical harmonics and the corresponding radial functions are expanded in a local basis set using finite-element analysis, with the appropriate scattering boundary conditions. The method is shown to give very accurate results for elastic phase shifts (S, P, D, and F) and resonance positions for electron-hydrogen scattering.
引用
收藏
页码:R1155 / R1158
页数:4
相关论文
共 22 条
  • [1] POSITRON HYDROGEN-ATOM S-WAVE COUPLED-CHANNEL SCATTERING AT LOW ENERGIES
    ARCHER, BJ
    PARKER, GA
    PACK, RT
    [J]. PHYSICAL REVIEW A, 1990, 41 (03): : 1303 - 1310
  • [2] ELECTRON-HYDROGEN SCATTERING CALCULATION
    ARMSTEAD, RL
    [J]. PHYSICAL REVIEW, 1968, 171 (01): : 91 - &
  • [3] Bathe K.J., 1976, NUMERICAL METHODS FI
  • [4] Bathe KJ., 2006, FINITE ELEMENT PROCE
  • [5] COMPLEX-COORDINATE CALCULATION OF 1DE RESONANCES USING HYLLERAAS FUNCTIONS
    BHATIA, AK
    HO, YK
    [J]. PHYSICAL REVIEW A, 1990, 41 (01): : 504 - 507
  • [6] COLLISIONS OF SLOW ELECTRONS AND POSITRONS WITH ATOMIC HYDROGEN
    BURKE, PG
    SMITH, K
    SCHEY, HM
    [J]. PHYSICAL REVIEW, 1963, 129 (03): : 1258 - &
  • [7] SCATTERING OF ELECTRONS BY ATOMIC-HYDROGEN AT INTERMEDIATE ENERGIES - ELASTIC-SCATTERING AND N=2 EXCITATION FROM 12 TO 54 EV
    CALLAWAY, J
    [J]. PHYSICAL REVIEW A, 1985, 32 (02): : 775 - 783
  • [8] SCATTERING OF ELECTRONS BY HYDROGEN-ATOMS
    CALLAWAY, J
    [J]. PHYSICAL REVIEW A, 1982, 26 (01): : 199 - 208
  • [9] SCATTERING OF ELECTRONS BY HYDROGEN-ATOMS AT INTERMEDIATE ENERGIES
    CALLAWAY, J
    WOOTEN, JW
    [J]. PHYSICAL REVIEW A, 1974, 9 (05): : 1924 - 1931
  • [10] Fano U., 1986, ATOMIC COLLISIONS SP