ON THE HILL DETERMINANT METHOD

被引：7
|
作者：
ESTRIN, DA [1 ]
FERNANDEZ, FM [1 ]
CASTRO, EA [1 ]
机构：
[1] NATL UNIV LA PLATA, FAC CIENCIAS EXACTAS, INST INVEST FISICOQUIM TEOR & APLICADAS, SUCURSAL 4, RA-1900 LA PLATA, ARGENTINA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 12期
关键词：
D O I：
10.1088/0305-4470/23/12/020
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The conditions of applicability of the Hill determinant method to the potentials V(r)=v1r+v2r2 and V(x)=x 2+ lambda x2/(1+gx2) are investigated. It is shown that the procedure leads to the actual eigenvalues in the former case provided the ansatz is properly chosen, but it completely fails to yield the right answer in the latter one.
引用
收藏
页码：2395 / 2400
页数：6
相关论文
共 50 条
  • [1] ON THE HILL DETERMINANT METHOD
    KILLINGBECK, J
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (14): : 2903 - 2906
  • [2] ON THE HILL-DETERMINANT METHOD
    HAUTOT, A
    [J]. PHYSICAL REVIEW D, 1986, 33 (02): : 437 - 443
  • [3] The Hill determinant method revisited
    Killingbeck, J. P.
    Jolicard, G.
    Grosjean, A.
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (01) : 107 - 118
  • [4] ON THE APPLICABILITY OF THE HILL DETERMINANT METHOD
    HAUTOT, A
    NICOLAS, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (13): : 2953 - 2959
  • [5] GENERALIZED HILL DETERMINANT METHOD
    ESTRIN, DA
    FERNANDEZ, FM
    CASTRO, EA
    [J]. PHYSICS LETTERS A, 1988, 130 (6-7) : 330 - 332
  • [6] The Hill determinant method revisited
    J. P. Killingbeck
    G. Jolicard
    A. Grosjean
    [J]. Journal of Mathematical Chemistry, 2019, 57 : 107 - 118
  • [7] FALSE EIGENVALUES OF THE HILL DETERMINANT METHOD
    CHAUDHURI, RN
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (02): : 567 - 568
  • [8] HILL DETERMINANT METHOD WITH A VARIATIONAL PARAMETER
    CHAUDHURI, RN
    MONDAL, M
    [J]. PHYSICAL REVIEW A, 1989, 40 (10): : 6080 - 6083
  • [9] RATIONAL POTENTIAL USING A MODIFIED HILL DETERMINANT METHOD
    AGRAWAL, RK
    VARMA, VS
    [J]. PHYSICAL REVIEW A, 1993, 48 (03): : 1921 - 1928
  • [10] APPLICATION OF THE METHOD OF HILL DETERMINANT TO THE QQBAR CONFINEMENT POTENTIALS
    CHAUDHURI, RN
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1986, 36 (08) : 930 - 932
12345