Application of Sturm--Liouville functions to the solution of the Schr\"odinger equation with an anisotropic saxon-woods potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 97-108
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A method is proposed for solving the Schrödinger equation with an anisotropic potential of
finite depth for bound states, $E0$. The single-particle wave function is represented as a superposition of eigenfunctions of the Sturm–Liouville problem. The effect of the continuous
spectrum on the bound states is taken into account automatically.
@article{TMF_1971_8_1_a9,
author = {F. A. Gareev and S. P. Ivanova and N. Yu. Shirikova},
title = {Application of {Sturm--Liouville} functions to the solution of the {Schr\"odinger} equation with an anisotropic saxon-woods potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {97--108},
publisher = {mathdoc},
volume = {8},
number = {1},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a9/}
}
TY - JOUR AU - F. A. Gareev AU - S. P. Ivanova AU - N. Yu. Shirikova TI - Application of Sturm--Liouville functions to the solution of the Schr\"odinger equation with an anisotropic saxon-woods potential JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1971 SP - 97 EP - 108 VL - 8 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a9/ LA - ru ID - TMF_1971_8_1_a9 ER -
%0 Journal Article %A F. A. Gareev %A S. P. Ivanova %A N. Yu. Shirikova %T Application of Sturm--Liouville functions to the solution of the Schr\"odinger equation with an anisotropic saxon-woods potential %J Teoretičeskaâ i matematičeskaâ fizika %D 1971 %P 97-108 %V 8 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a9/ %G ru %F TMF_1971_8_1_a9
F. A. Gareev; S. P. Ivanova; N. Yu. Shirikova. Application of Sturm--Liouville functions to the solution of the Schr\"odinger equation with an anisotropic saxon-woods potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 97-108. http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a9/