Geodesic
Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 236-246 
S. A. Vugal'ter. Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 236-246. http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/
@article{TMF_1990_83_2_a6,
     author = {S. A. Vugal'ter},
     title = {Asymptotic behavior of~the eigenvalues of~many-particle {Hamiltonians} on~subspaces of~functions of~a~given symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {236--246},
     year = {1990},
     volume = {83},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/}
}
TY  - JOUR
AU  - S. A. Vugal'ter
TI  - Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 236
EP  - 246
VL  - 83
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/
LA  - ru
ID  - TMF_1990_83_2_a6
ER  - 
%0 Journal Article
%A S. A. Vugal'ter
%T Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 236-246
%V 83
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/
%G ru
%F TMF_1990_83_2_a6

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

For many-particle Hamiltonians with Coulomb interaction asymptotic expressions are obtained for eigenvalues corresponding to states with given orbital angular momentum $L$, spin, and parity in the limit $L\to\infty$. Asymptotic expressions are given for the eigenfunctions of the ground states for the given symmetry.

[1] Vugalter S. A., Zhislin G. M., Asimptotika diskretnogo spektra operatora Shredingera dlya sistemy $N$ chastits na podprostranstvakh zadannoi simmetrii, Preprint No 263, NIRFI, Gorkii, 1988

[2] Hunziker W., Helv. Phys. Acta, 48 (1975), 145–155 | MR

[3] Zhislin G. M., Izv. AN SSSR. Ser. matem., 33 (1969), 590–649 | MR | Zbl

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

[5] Vugalter S. A., Zhislin G. M., TMF, 32:1 (1977), 70–87 | MR