Geodesic
Spectral-source-like expansions in the theory of wave propagation and the quantum theory of potential scattering
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 3, pp. 370-387 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Linear nonself-adjoint differential operators a r e used to construct and investigate spectral-source-like solutions (expansions in normal waves) of the problems of the theory of radio wave propagation and the quantum theory of potential scattering. 
@article{TMF_1972_10_3_a5,
     author = {I. I. Golichev and P. E. Krasnushkin},
     title = {Spectral-source-like expansions in the theory of wave propagation and the quantum theory of potential scattering},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {370--387},
     year = {1972},
     volume = {10},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a5/}
}
TY  - JOUR
AU  - I. I. Golichev
AU  - P. E. Krasnushkin
TI  - Spectral-source-like expansions in the theory of wave propagation and the quantum theory of potential scattering
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 370
EP  - 387
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a5/
LA  - ru
ID  - TMF_1972_10_3_a5
ER  - 
%0 Journal Article
%A I. I. Golichev
%A P. E. Krasnushkin
%T Spectral-source-like expansions in the theory of wave propagation and the quantum theory of potential scattering
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 370-387
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a5/
%G ru
%F TMF_1972_10_3_a5
I. I. Golichev; P. E. Krasnushkin. Spectral-source-like expansions in the theory of wave propagation and the quantum theory of potential scattering. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 3, pp. 370-387. http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a5/

[1] A. Sommerfeld, Ann. d. Phys., 28 (1909), 665 | DOI | Zbl

[2] H. Poincare, Rend. Circolo Mat. di Palermo, 29 (1910), 162

[3] N. Watson, Proc. Roy. Soc. A, 95a (1918), 83 | DOI | Zbl

[4] H. Lamb, Phil. Trans. Roy. Soc., A, 203, 1 ; (1904), 204 | DOI

[5] V. de Alfaro, T. Redzhe, Potentsialnoe rasseyanie, «Mir», 1966 | Zbl

[6] P. E. Krasnushkin, Metod normalnykh voln v primenenii k volnovodam i ikh algebraicheskim proobrazam, MGU, 1945

[7] P. E. Krasnushkin, Metod normalnykh voln v primenenii k probleme dalnikh svyazei, MGU, 1947

[8] P. E. Krasnushkin, N. A. Yablochkin, “Teoriya rasprostraneniya sverkhdlinnykh voln”, Trudy Soyuznogo NII, no. 4(12), 1955; изд. ВЦ АН СССР, 1963

[9] P. E. Krasnushkin, Nuovo Cim., 26 supl., 1962, 50 | DOI | Zbl

[10] P. E. Krasnushkin, DAN SSSR, 138 (1961), 1055 | MR | Zbl

[11] P. E. Krasnushkin, E. N. Fedorov, Radiotekhnika i elektronika, 17:6 (1972) | MR

[12] Ya. I. Azimov, A. A. Anselm, V. M. Shekhter, ZhETF, 44 (1963), 1079

[13] C. Lovelace, D. Masson, Nuovo Cim., 26 (1962), 472 | DOI | MR | Zbl

[14] A. E. A. Warburton, Nuovo Cim., 32 (1964), 122 | DOI | MR

[15] V. A. Kolkunov, Nerelyativistskie traektorii Redzhe, dissertatsiya, ITEF, 1964

[16] P. E. Krasnushkin, DAN SSSR, 185 (1969), 1014

[17] P. E. Krasnushkin, DAN SSSR, 185 (1969), 1262

[18] M. V. Keldysh, DAN SSSR, 77 (1951), 11 | Zbl

[19] H. Ott, Ann. Phys., 41 (1942), 443 ; 43 (1943), 393 | DOI | MR | Zbl | DOI | MR | Zbl

[20] I. Ts. Gokhberg, M. G. Krein, Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, «Nauka», 1965 | MR

[21] V. B. Lidskii, Tr. Mosk. matem. ob-va, 11 (1962), 3 | MR

[22] I. I. Golichev, DAN SSSR, 6 (1970), 1212 | MR

[23] M. A. Naimark, Lineinye differentsialnye operatory, «Nauka», 1969 | MR

[24] I. I. Golichev, Matematicheskie zametki, 9 (1971), 401 | MR | Zbl

[25] M. Goldberger, K. Vatson, Teoriya stolknovenii, «Mir», 1967

[26] I. Yu. Kobzarev, N. I. Nikolaev, L. B. Okun, YaF, 10 (1969), 864

[27] I. I. Golichev, Dissertatsiya, Matematicheskii in-t im. V. A. Steklova AN SSSR, 1970