Geodesic
Energy spectrum of a particle in potentials with strongly differing ranges
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 287-298 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Equations are derived that determine the spectrum of weakly bound states of systems in which the interaction is described by a superposition of potentials with strongly differing interaction ranges. The level shifts in a long-range potential due to the influence of a short-range center are found. The interaction of levels that exist in the isolated potentials is investigated. Expressions for the renormalization of the scattering length by an external field are obtained. The Stark effect under conditions of degeneracy is considered. 
@article{TMF_1985_64_2_a10,
     author = {S. P. Andreev and B. M. Karnakov and V. D. Mur},
     title = {Energy spectrum of a~particle in potentials with strongly differing ranges},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {287--298},
     year = {1985},
     volume = {64},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a10/}
}
TY  - JOUR
AU  - S. P. Andreev
AU  - B. M. Karnakov
AU  - V. D. Mur
TI  - Energy spectrum of a particle in potentials with strongly differing ranges
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 287
EP  - 298
VL  - 64
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a10/
LA  - ru
ID  - TMF_1985_64_2_a10
ER  - 
%0 Journal Article
%A S. P. Andreev
%A B. M. Karnakov
%A V. D. Mur
%T Energy spectrum of a particle in potentials with strongly differing ranges
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 287-298
%V 64
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a10/
%G ru
%F TMF_1985_64_2_a10
S. P. Andreev; B. M. Karnakov; V. D. Mur. Energy spectrum of a particle in potentials with strongly differing ranges. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 287-298. http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a10/

[1] Andreev S. P., Karnakov B. M., Mur V. D., Pisma v ZhETF, 37:3 (1983), 155–157 | MR

[2] Andreev S. P., Karnakov B. M., Mur V. D., Polunin V. A., ZhETF, 86:3 (1984), 866–881

[3] Demkov Yu. N., Ostrovskii V. N., Metod potentsialov nulevogo radiusa v atomnoi fizike, LGU, L., 1975

[4] Smirnov B. M., Atomnye stolknoveniya i elementarnye protsessy v plazme, Atomizdat, M., 1968

[5] Ivanov G. K., TEKh, 10:4 (1974), 450–455

[6] Dalidchik F. I., TMF, 23:3 (1975), 427–430 | MR

[7] Demkov Yu. N., Drukarev G. F., ZhETF, 81:4 (1981), 1218–1231

[8] Andreev S. P., Koshelkin A. V., Pisma v ZhETF, 35:5 (1982), 187–190

[9] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Nauka, M., 1974 | MR

[10] Nyuton R., Teoriya rasseyaniya voln i chastits, Mir, M., 1969 ; Тейлор Дж., Теория рассеяния, Мир, М., 1975 | MR

[11] Deser S., Goldberger M. L., Baumann K., Thirring W., Phys. Rev., 96:3 (1954), 774–779 | DOI

[12] Kereselidze T. M., Chibisov M. I., ZhETF, 68:1 (1975), 12–21 | MR

[13] Karnakov B. M., Mur V. D., ZhETF, 87:4 (1984), 1150–1163

[14] Zeldovich Ya. B., FTT, 1:6 (1959), 1637–1647

[15] Backenstoss G., Pionic Atoms. Ann. Rev. Nucl. Sci., 20 (1970), 467–509 | DOI

[16] Smorodinskii Ya. A., DAN SSSR, 60:2 (1948), 217–221

[17] Mur V. D., Popov V. S., TMF, 27:2 (1976), 204–216

[18] Popov V. S., Kudryavtsev A. E., Lisin V. I., Mur V. D., ZhETF, 80:4 (1981), 1271–1287 | MR

[19] Kirzhnits D. A., Penkov F. M., ZhETF, 82:3 (1982), 657–669 | MR