Geodesic
Green's function of a multidimensional isotropic harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 223-226 
V. L. Bakhrakh; S. I. Vetchinkin; S. V. Khristenko. Green's function of a multidimensional isotropic harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 223-226. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a7/
@article{TMF_1972_12_2_a7,
     author = {V. L. Bakhrakh and S. I. Vetchinkin and S. V. Khristenko},
     title = {Green's function of a multidimensional isotropic harmonic oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {223--226},
     year = {1972},
     volume = {12},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a7/}
}
TY  - JOUR
AU  - V. L. Bakhrakh
AU  - S. I. Vetchinkin
AU  - S. V. Khristenko
TI  - Green's function of a multidimensional isotropic harmonic oscillator
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 223
EP  - 226
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a7/
LA  - ru
ID  - TMF_1972_12_2_a7
ER  - 
%0 Journal Article
%A V. L. Bakhrakh
%A S. I. Vetchinkin
%A S. V. Khristenko
%T Green's function of a multidimensional isotropic harmonic oscillator
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 223-226
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a7/
%G ru
%F TMF_1972_12_2_a7

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

A closed representation is obtained for the Green's function of the Schrödinger equation for an $N$-dimensional isotropic harmonic oscillator.

[2] V. L. Bakhrakh, S. I. Vetchinkin, TMF, 6 (1971), 392 | MR

[3] R. P. Feynman, Revs. Mod. Phys., 20 (1948), 367 | DOI | MR

[4] H. Buchholz, Die konfluente hypergeometrische Function, Springer-Verlag, 1953 | MR

[5] L. C. Hostler, J. Math. Phys., 11 (1970), 2966 | DOI | MR