Geodesic
Generalized wave operators and regularization of perturbation series
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 80-86 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The concept of generalized wave operators and of the generalized scattering operator is introduced. It is shown on specific examples how these concepts can be used in the regularization of perturbation series. In particular, perturbation of the Coulomb type is considered from this point of view. 
@article{TMF_1970_2_1_a6,
     author = {L. A. Sakhnovich},
     title = {Generalized wave operators and regularization of perturbation series},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {80--86},
     year = {1970},
     volume = {2},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a6/}
}
TY  - JOUR
AU  - L. A. Sakhnovich
TI  - Generalized wave operators and regularization of perturbation series
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 80
EP  - 86
VL  - 2
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a6/
LA  - ru
ID  - TMF_1970_2_1_a6
ER  - 
%0 Journal Article
%A L. A. Sakhnovich
%T Generalized wave operators and regularization of perturbation series
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 80-86
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a6/
%G ru
%F TMF_1970_2_1_a6
L. A. Sakhnovich. Generalized wave operators and regularization of perturbation series. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 80-86. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a6/

[1] J. M. Jauch, B. Misra, A. C. Gibson, Helv. Phys. Acta, 41 (1968), 513 | Zbl

[2] F. A. Berezin, Matem. sb., 76 (1968), 3 | MR

[3] N. I. Akhiezer, I. M. Glazman, Teoriya lineinykh operatorov v gilbertovom prostranstve, «Nauka», 1966 | MR | Zbl

[4] K. O. Friedrichs, Comm. Pure and Appl. Math., 1 (1948), 361 | DOI | MR | Zbl

[5] L. A. Sakhnovich, Tr. Mosk. matem. ob-va, no. 19, 1968, 211 | MR | Zbl

[6] L. A. Sakhnovich, “Obobschennye volnovye operatory”, Matem. sb., 81(123):2 (1970), 209–227 | MR | Zbl

[7] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963

[8] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, Fizmatgiz, 1959 | MR

[9] A. I. Baz, Ya. B. Zeldovich, A. M. Perelomov, Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike, «Nauka», 1966 | Zbl

[10] M. Levy, Proc. Roy. Soc., Ser. A, 204 (1950), 145 | DOI | MR | Zbl

[11] J. D. Dollard, J. Math. Phys., 5:6 (1964), 729 | DOI | MR