Tridiagonal parametrization of interaction in the discrete approach to the scattering problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 2, pp. 263-274 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We propose a method for constructing separable potentials with oscillatory formfactors given the scattering phase and the discrete spectrum of a quantum system. We show that the rank of the potential is minimum for an optimal value of the variational parameter $\hbar\omega$.
@article{TMF_1998_115_2_a7,
     author = {S. A. Zaytsev},
     title = {Tridiagonal parametrization of interaction in the discrete approach to the scattering problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {263--274},
     year = {1998},
     volume = {115},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_2_a7/}
}
TY  - JOUR
AU  - S. A. Zaytsev
TI  - Tridiagonal parametrization of interaction in the discrete approach to the scattering problem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 263
EP  - 274
VL  - 115
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_115_2_a7/
LA  - ru
ID  - TMF_1998_115_2_a7
ER  - 
%0 Journal Article
%A S. A. Zaytsev
%T Tridiagonal parametrization of interaction in the discrete approach to the scattering problem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 263-274
%V 115
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1998_115_2_a7/
%G ru
%F TMF_1998_115_2_a7
S. A. Zaytsev. Tridiagonal parametrization of interaction in the discrete approach to the scattering problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 2, pp. 263-274. http://geodesic.mathdoc.fr/item/TMF_1998_115_2_a7/

[1] H. A. Yamani, L. Fishman, J. Math. Phys., 16:2 (1975), 410 | DOI | MR

[2] Yu. F. Smirnov, Yu. I. Nechaev, Kinam, 4 (1982), 445

[3] J. Revai, M. Sotona, J. Zofka, J. Phys. G: Nucl. Phys., 11:4 (1985), 745 | DOI

[4] Dzh. Kh. Uilkinson, S. Rainsh, Spravochnik algoritmov na yazyke ALGOL. Lineinaya algebra, Mashinostroenie, M., 1976

[5] B. Parlett, Simmetrichnaya problema sobstvennykh znachenii. Chislennye metody, Mir, M., 1983 | MR

[6] V. A. Skorobogatko, Teoriya vetvyaschikhsya tsepnykh drobei i ee primenenie v vychislitelnoi matematike, Nauka, M., 1983 | MR

[7] D. Beiker, P. Greivs-Morris, Approksimatsiya Pade, Mir, M., 1986 | MR