Geodesic
Energy levels of an oscillator with singular concentrated potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 321-324 
O. G. Goryaga; Yu. M. Shirokov. Energy levels of an oscillator with singular concentrated potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 321-324. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a5/
@article{TMF_1981_46_3_a5,
     author = {O. G. Goryaga and Yu. M. Shirokov},
     title = {Energy levels of an oscillator with singular concentrated potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {321--324},
     year = {1981},
     volume = {46},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a5/}
}
TY  - JOUR
AU  - O. G. Goryaga
AU  - Yu. M. Shirokov
TI  - Energy levels of an oscillator with singular concentrated potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 321
EP  - 324
VL  - 46
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a5/
LA  - ru
ID  - TMF_1981_46_3_a5
ER  - 
%0 Journal Article
%A O. G. Goryaga
%A Yu. M. Shirokov
%T Energy levels of an oscillator with singular concentrated potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 321-324
%V 46
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a5/
%G ru
%F TMF_1981_46_3_a5

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

The algebra of generalized functions constructed earlier by Shirokov is used to solve the Schrödinger equation for a harmonic oscillator on which a singular concentrated potential acts. The small corrections to the energy levels due to this potential are obtained.

[1] Shirokov Yu. M., “Algebry odnomernykh obobschennykh funktsii”, TMF, 39:3 (1979), 291–301 | MR | Zbl

[2] Shirokov Yu. M., “Silno singulyarnye potentsialy v odnomernoi kvantovoi mekhanike”, TMF, 41:3 (1979), 291–302 | MR | Zbl

[3] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971 | MR