NUMERICALLY INSPIRED NEW VERSION OF DEGENERATE RAYLEIGH-SCHRODINGER PERTURBATION-THEORY

被引:5
作者
ZNOJIL, M
机构
[1] Institute of Nuclear Physics, Czechosl. Acad. Sci., Řež near Prague
关键词
D O I
10.1007/BF01597966
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new form of the degenerate perturbation series is proposed. Its construction is inspired by the standard numerical algorithm of inverse iterations: As input, we only assume knowledge of an approximate non-diagonal propagator matrix at some trial zero-order energy. The convergence and a few other technicalities are illustrated by the anharmonic oscillator. © 1990 Academia, Publishing House of the Czechoslovak Academy of Sciences.
引用
收藏
页码:1065 / 1078
页数:14
相关论文
共 27 条
[1]  
ACTON FS, 1970, NUMERICAL METHODS WO, P178
[2]  
BILJ A, 1940, PHYSICA, V7, P869
[3]   PERTURBATION-THEORY WITHOUT UNPERTURBED SOLUTIONS [J].
BISHOP, RF ;
FLYNN, MF ;
ZNOJIL, M .
PHYSICAL REVIEW A, 1989, 39 (10) :5336-5349
[4]  
BISHOP RF, 1989, CONDENS MATTER THEOR, V4
[5]  
BISHOP RF, UNPUB NUCLEAR PHYSIC
[6]   EXTENDED SHELL-MODEL CALCULATION OF THE T=0 NATURAL PARITY SPECTRUM OF HE-4 [J].
CEULENEER, R ;
VANDEPEUTTE, P ;
SEMAY, C .
PHYSICS LETTERS B, 1987, 196 (03) :303-306
[7]   10-H-OMEGA SHELL-MODEL DESCRIPTION OF THE T=O SPECTRUM OF HE-4 USING MODIFIED SUSSEX MATRIX-ELEMENTS [J].
CEULENEER, R ;
VANDEPEUTTE, P ;
SEMAY, C .
PHYSICAL REVIEW C, 1988, 38 (05) :2335-2340
[8]  
DINGLE RB, 1949, PHILOS MAG, V40, P573
[9]   UNIFIED THEORY OF NUCLEAR REACTIONS [J].
FESHBACH, H .
ANNALS OF PHYSICS, 1958, 5 (04) :357-390
[10]   ANHARMONIC-OSCILLATOR - A NEW APPROACH [J].
HALLIDAY, IG ;
SURANYI, P .
PHYSICAL REVIEW D, 1980, 21 (06) :1529-1537