Geodesic
Theory of high-energy potential scattering in the method of evolution with respect to the coupling constant
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 183-192 
M. Kh. Khankhasaev. Theory of high-energy potential scattering in the method of evolution with respect to the coupling constant. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 183-192. http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a2/
@article{TMF_1990_85_2_a2,
     author = {M. Kh. Khankhasaev},
     title = {Theory of~high-energy potential scattering in~the method of evolution with respect to~the coupling constant},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {183--192},
     year = {1990},
     volume = {85},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a2/}
}
TY  - JOUR
AU  - M. Kh. Khankhasaev
TI  - Theory of high-energy potential scattering in the method of evolution with respect to the coupling constant
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 183
EP  - 192
VL  - 85
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a2/
LA  - ru
ID  - TMF_1990_85_2_a2
ER  - 
%0 Journal Article
%A M. Kh. Khankhasaev
%T Theory of high-energy potential scattering in the method of evolution with respect to the coupling constant
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 183-192
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a2/
%G ru
%F TMF_1990_85_2_a2

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

The formulation of the theory of potential scattering based on the law of evolution of the system when the coupling constant is varied (coupling constant evolution method: CCE method) is considered. A new equation for the scattering amplitude is obtained in the framework of such an approach. A method of solving it that is effective in the limit of short waves is proposed. The connection between the CCE method and the variable phase method in quantum mechanics is discussed.

[1] Kirzhnits D. A., ZhETF, 49:5 (1965), 1544–1555 | Zbl

[2] Kirzhnits D. A., Problemy teoreticheskoi fiziki, Pamyati I. E. Tamma, Nauka, M., 1972, 74–95 | MR

[3] Kirzhnits D. A., Kryuchkov G. Yu., Takibaev N. Zh., EChAYa, 10:4 (1979), 741–783 | MR

[4] Khankhasaev M. Kh., EChAYa, 16:6 (1985), 1223–1273

[5] Babikov V. V., UFN, 92:1 (1967), 3–26 ; Метод фазовых функций в квантовой механике, Наука, М., 1968 ; изд. 3-е, Наука, 1988 | DOI | MR

[6] Kolodzhero F., Metod fazovykh funktsii v teorii potentsialnogo rasseyaniyam, Mir, M., 1972

[7] Moliere G., Z. Naturforsch., 2A:1 (1947), 133–138 ; Glauber R. J., Lectures in Theoretical Physics, Vol. 1, ed. W. E. Brittin, Interscience, N.-Y., 1959 | MR

[8] Sitenko A. G., UFZh, 4:2 (1959), 152–163 | MR

[9] Quigg C., Joachain C. J., Rev. Mod. Phys., 46:2 (1974), 279–324 | DOI | MR

[10] Garsevanishvili V. R., Matveev V. A., Slepchenko L. A., EChAYa, 1:1 (1970), 92–130

[11] Barbashov B. M., Blokhintsev D. I., Nesterenko V. V., Pervushin V. N., EChAYa, 4:3 (1973), 623–661 | MR

[12] Babikov V. V., Khankhasaev M. Kh., Izv. AN SSSR. Ser. fiz., 38 (1974), 725–729

[13] Babikov V. V., Mir-Kasimov R. M., Phys. Lett. B, 31:7 (1970), 415–418 | DOI

[14] Khankhasaev M. Kh., TMF, 34:2 (1978), 170–179 | MR

[15] Khankhasaev M. Kh., TMF, 29:2 (1976), 221–234

[16] Garsevanishvili V. R., Goloskokov S. V., Matveev V. A., Slepchenko L. A., Tavkhelidze A. N., TMF, 6:1 (1971), 36–41 ; Кадышевский В. Г., Мир-Касимов Р. М., Скачков Н. Б., ЭЧАЯ, 2:3 (1972), 635–690