Geodesic
Remark on quantization of the hydrogen atom by the path-integral method
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 47-54 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For path integrals with integration measures generated by random processes of a definite form (equations of Stratonovich's type are the local form for the stochastic differential equations of these processes) it is shown that when the hydrogen atom is quantized there is a mutual canceling of the reparametrization and reduction Jacobians. 
@article{TMF_1990_82_1_a5,
     author = {S. N. Storchak},
     title = {Remark on~quantization of~the hydrogen atom by~the path-integral method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {47--54},
     year = {1990},
     volume = {82},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a5/}
}
TY  - JOUR
AU  - S. N. Storchak
TI  - Remark on quantization of the hydrogen atom by the path-integral method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 47
EP  - 54
VL  - 82
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a5/
LA  - ru
ID  - TMF_1990_82_1_a5
ER  - 
%0 Journal Article
%A S. N. Storchak
%T Remark on quantization of the hydrogen atom by the path-integral method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 47-54
%V 82
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a5/
%G ru
%F TMF_1990_82_1_a5
S. N. Storchak. Remark on quantization of the hydrogen atom by the path-integral method. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 47-54. http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a5/

[1] Duru I. H., Kleinert H., Phys. Lett., 84B:2 (1979), 185–188 | DOI | MR

[2] Kustaanheimo P., Stiefel E., J. Reine Angew. Math., 218 (1965), 204–219 | MR | Zbl

[3] Kleinert H., Phys. Lett., 120A:8 (1987), 361–366 | DOI | MR

[4] Elworthy D., Truman A., J. Math. Phys., 22:10 (1981), 2144–2166 | DOI | MR | Zbl

[5] DeWitt-Morette C., Young A., Ann. Phys., 169:1 (1986), 140–166 | DOI | MR | Zbl

[6] Storchak S. N., IHEP-preprint 86-143, IHEP, Serpukhov, 1986; Сторчак С. Н., ТМФ, 75:3 (1988), 403–415 | MR

[7] Blanchard Ph., Sirugue M., J. Math. Phys., 22:7 (1981), 1372–1376 | DOI | MR | Zbl

[8] Gikhman I. I., Skorokhod A. V., Stokhasticheskie differentsialnye uravneniya, Naukova dumka, Kiev, 1968 ; Gihman I. J., Skorohod A. V., Stochastic Differential Equation, Springer-Verlag, Berlin, 1972 | MR | Zbl | MR | Zbl

[9] Storchak S. N., IHEP-preprint 88-127, IHEP, Serpukhov, 1988 | MR

[10] Kummer M., Indiana Univ. Math. J., 30:2 (1981), 281–291 | DOI | MR | Zbl

[11] Iwai T., Uwano Y., J. Math. Phys., 27:6 (1986), 1523–1529 | DOI | MR | Zbl

[12] Manoukian E. B., J. Phys. A: Math. Gen., 20:16 (1987), 5565–5570 | DOI | MR