Geodesic
Application of commutation relations to determine the eigenvalues of operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 66-72

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

A method is proposed for constructing operators that change the eigenvalues of the generators of a given representation of a Lie algebra, i.e., if these operators are applied to the eigenfunctions of a chosen generator $F_i$ they lead to different eigenfunctions of the same generator. Equations are obtained for determining the changes of the eigenvalues of the generators. The results obtained are applied to operators in the second-quantization representation. 
@article{TMF_1970_5_1_a6,
     author = {A. A. Zaitsev},
     title = {Application of commutation relations to determine the eigenvalues of operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {66--72},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a6/}
}
TY  - JOUR
AU  - A. A. Zaitsev
TI  - Application of commutation relations to determine the eigenvalues of operators
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 66
EP  - 72
VL  - 5
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a6/
LA  - ru
ID  - TMF_1970_5_1_a6
ER  - 
%0 Journal Article
%A A. A. Zaitsev
%T Application of commutation relations to determine the eigenvalues of operators
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 66-72
%V 5
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a6/
%G ru
%F TMF_1970_5_1_a6
A. A. Zaitsev. Application of commutation relations to determine the eigenvalues of operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 66-72. http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a6/