Geodesic
On the number of discrete levels in the quantum problem of three particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 55-66 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Effective estimates are obtained for the total number of discrete eigenvalues for the Schrödinger operator of a system of three attracting particles. 
@article{TMF_1976_27_1_a5,
     author = {D. R. Yafaev},
     title = {On the number of discrete levels in the quantum problem of three particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {55--66},
     year = {1976},
     volume = {27},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a5/}
}
TY  - JOUR
AU  - D. R. Yafaev
TI  - On the number of discrete levels in the quantum problem of three particles
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 55
EP  - 66
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a5/
LA  - ru
ID  - TMF_1976_27_1_a5
ER  - 
%0 Journal Article
%A D. R. Yafaev
%T On the number of discrete levels in the quantum problem of three particles
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 55-66
%V 27
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a5/
%G ru
%F TMF_1976_27_1_a5
D. R. Yafaev. On the number of discrete levels in the quantum problem of three particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 55-66. http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a5/

[1] M. Sh. Birman, DAN SSSR, 129 (1959), 239 | MR | Zbl

[2] J. Schwinger, Proc. Nat. Acad. Sci. USA, 47 (1961), 122 | DOI | MR

[3] D. R. Yafaev, DAN SSSR, 206 (1972), 68

[4] G. M. Zhislin, DAN SSSR, 207 (1972), 25 | Zbl

[5] L. D. Faddeev, Tr. MIAN, 69 (1963) | MR | Zbl

[6] D. R. Yafaev, Matem. sb., 94 (1974), 567 | MR | Zbl

[7] T. Kato, Teoriya vozmuschenii lineinykh operatorov, «Mir», 1972 | MR | Zbl

[8] F. Riss, B. Sekefalvi-Nad, Lektsii po funktsionalnomu analizu, IL, 1954 | MR

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

[10] J. Ginibre, M. Moulin, Ann. Inst. H. Poincaré, s. A, 21 (1974), 8 | MR

[11] I. E. Shnol, Matem. sb., 42 (1957), 273 | Zbl