Geodesic
Convolution of the secular equation of perturbation theory for a~degenerate case
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 79-84

Voir la notice de l'article provenant de la source Math-Net.Ru

A simple procedure of the convolution of secular equation of perturbation theory in the degenerate case is suggested which is valid for the arbitrary multiplicity of the unperturbed level degeneration. The expressions obtained can be considered as an extension of the Brilliouin–Wigner perturbation theory to the case of degenerate of almost degenerate states. Some equivalent formulations of the Schrödinger equation are obtained which might be useful in concrete calculations. Problem of an electron in the periodic harmonic potential is considered as an example. 
@article{TMF_1987_73_1_a7,
     author = {R. Kh. Sabirov},
     title = {Convolution of the secular equation of perturbation theory for a~degenerate case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {79--84},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a7/}
}
TY  - JOUR
AU  - R. Kh. Sabirov
TI  - Convolution of the secular equation of perturbation theory for a~degenerate case
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 79
EP  - 84
VL  - 73
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a7/
LA  - ru
ID  - TMF_1987_73_1_a7
ER  - 
%0 Journal Article
%A R. Kh. Sabirov
%T Convolution of the secular equation of perturbation theory for a~degenerate case
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 79-84
%V 73
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a7/
%G ru
%F TMF_1987_73_1_a7
R. Kh. Sabirov. Convolution of the secular equation of perturbation theory for a~degenerate case. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 79-84. http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a7/