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 39 条
[11]   ON THE APPLICABILITY OF THE HILL DETERMINANT AND THE ANALYTIC CONTINUED-FRACTION METHOD TO ANHARMONIC-OSCILLATORS [J].
FLESSAS, GP ;
ANAGNOSTATOS, GS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :L437-L542
[12]   COMPUTATION ASPECTS OF 3-TERM RECURRENCE RELATIONS [J].
GAUTSCHI, W .
SIAM REVIEW, 1967, 9 (01) :24-&
[13]   LOWER BOUNDS TO BOUND-STATE EIGENVALUES [J].
GIRAUD, BG .
PHYSICAL REVIEW C, 1978, 17 (02) :800-809
[14]   ON THE APPLICABILITY OF THE HILL DETERMINANT METHOD [J].
HAUTOT, A ;
NICOLAS, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (13) :2953-2959
[15]   ON THE HILL-DETERMINANT METHOD [J].
HAUTOT, A .
PHYSICAL REVIEW D, 1986, 33 (02) :437-443
[16]   INTERACTION LAMBDA-X2-(1 + GX2) REVISITED [J].
HAUTOT, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 39 (01) :72-93
[17]   QUANTUM-THEORY OF ANHARMONIC OSCILLATORS .2. ENERGY-LEVELS OF OSCILLATORS WITH X2ALPHA ANHARMONICITY [J].
HIOE, FT ;
MACMILLEN, D ;
MONTROLL, EW .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (07) :1320-1337
[18]   THE ROTATING OSCILLATOR [J].
KILLINGBECK, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (05) :1285-1288
[19]   HILL DETERMINANTS AND SUPERSYMMETRY [J].
KILLINGBECK, J .
PHYSICS LETTERS A, 1986, 115 (06) :253-255
[20]   ON THE HILL DETERMINANT METHOD [J].
KILLINGBECK, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (14) :2903-2906