Geodesic
Weakly bound states of a charged particle in a finite-dipole field
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 2, pp. 209-221 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The energy levels of a charged particle in the field of a finite dipole go over into a continuous spectrum in infinite groups when the dipole moment is reduced. Relations are obtained that describe the distribution of the dipole-moment critical values at which terms enter the continuum and also the behavior of the energy levels in their neighborhoods. These relations, which are more accurate for terms with high numbers, show that the energy of the bound states tends to zero exponentially as the dipole moment reaches the criticalvalues. 
@article{TMF_1972_13_2_a5,
     author = {D. I. Abramov and I. V. Komarov},
     title = {Weakly bound states of a charged particle in a finite-dipole field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {209--221},
     year = {1972},
     volume = {13},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_2_a5/}
}
TY  - JOUR
AU  - D. I. Abramov
AU  - I. V. Komarov
TI  - Weakly bound states of a charged particle in a finite-dipole field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 209
EP  - 221
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_13_2_a5/
LA  - ru
ID  - TMF_1972_13_2_a5
ER  - 
%0 Journal Article
%A D. I. Abramov
%A I. V. Komarov
%T Weakly bound states of a charged particle in a finite-dipole field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 209-221
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1972_13_2_a5/
%G ru
%F TMF_1972_13_2_a5
D. I. Abramov; I. V. Komarov. Weakly bound states of a charged particle in a finite-dipole field. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 2, pp. 209-221. http://geodesic.mathdoc.fr/item/TMF_1972_13_2_a5/

[1] E. Fermi, E. Teller, Phys. Rev., 72 (1947), 399 | DOI | Zbl

[2] J. E. Turner, K. Fox, Phys. Rev., 174 (1968), 81 | DOI

[3] O. H. Crawford, Proc. Phys. Soc., 91 (1967), 279 | DOI

[4] A. S. Wightman, Phys. Rev., 77 (1950), 521 | DOI

[5] R. F. Wallis, R. Herman, H. W. Milnes, J. Molec. Spectrosc., 4 (1960), 51 | DOI | MR

[6] K. Flammer, Tablitsy volnovykh sferoidalnykh funktsii, Izd. VTs AN SSSR, 1962 | MR

[7] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963

[8] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, t. 1, 2, «Nauka», 1965 | MR

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

[10] A. I. Baz, Ya. B. Zeldovich, A. M. Perelomov, Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike, «Nauka», 1971 | Zbl

[11] T. M. Cherri, Matematika, 9:4 (1965), 87 | MR

[12] I. V. Komarov, S. Yu. Slavyanov, ZhETF, 52 (1967), 1368

[13] K. Fox, J. E. Turner, Am. J. Physics, 34 (1966), 606 | DOI