Application of Sturm–Liouville functions to the solution of the Schrödinger equation with an anisotropic saxon-woods potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 97-108 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A method is proposed for solving the Schrödinger equation with an anisotropic potential of finite depth for bound states, $E<0$. 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{\textendash}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},
     year = {1971},
     volume = {8},
     number = {1},
     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 Schrödinger equation with an anisotropic saxon-woods potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 97
EP  - 108
VL  - 8
IS  - 1
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 Schrödinger equation with an anisotropic saxon-woods potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 97-108
%V 8
%N 1
%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 Schrödinger 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/

[1] F. A. Gareev, S. P. Ivanova, B. N. Kalinkin, Preprint R4-3451, OIYaI, 1967; Изв. АН СССР, сер. физ., 32 (1968), 1690; Ф. А. Гареев, С. П. Иванова, Б. Н. Калинкин, С. К. Слепнев, М. Г. Гинзбург, Препринт Р4-3607, ОИЯИ, 1967

[2] F. A. Gareev, S. P. Ivanova, V. V. Pashkevitch, JINR Preprint E4-4704, Dubna, 1969 ; ЯФ, 11 (1970), 1200 | MR

[3] F. A. Gareev, B. N. Kalinkin, N. I. Pyatov, M. I. Chernei, YaF, 8 (1968), 305; Ф. А. Гареев, С. П. Иванова, М. И. Черней, ЯФ, 9 (1969), 308

[4] V. G. Solovev, Obzornyi doklad, predstavlennyi na Mezhdunarodnyi simpozium po strukture yadra, Dubna, 1968; Л. А. Малов, В. Г. Соловьев, У. М. Файнер, Изв. АН СССР, сер. физ., 38 (1969), 1244; ДАН СССР, 186 (1969), 299 ; А. А. Корнейчук, Л. А. Малов, В. Г. Соловьев, С. И. Федотов, Г. Шульц, ЯФ, 9 (1969), 750; Л. А. Малов, В. Г. Соловьев, С. И. Федотов, ДАН СССР, 189 (1969), 931

[5] F. A. Gareev, S. P. Ivanova, Preprint R4-5221, OIYaI, 1970

[6] S. I. Drozdov, YaF, 1 (1965), 407; D. L. Hendrie, N. K. Glendenning, B. G. Harvey, O. N. Jarvis, H. H. Duhm, J. Saudinos, I. Mahoney, Phys. Lett., 26B (1968), 127 ; H. Schulz, H. I. Wiebicke, Phys. Lett., 29B (1969), 18 | DOI | DOI

[7] P. E. Nemirovskii, V. A. Chepurnov, YaF, 3 (1966), 998

[8] A. Faessler, R. Sheline, Phys. Rev., 148 (1966), 1003 | DOI

[9] P. Ropper, Z. Phys., 195 (1966), 316 ; J. H. Vogeler, Nucl. Phys., A133 (1969), 289 | DOI | DOI

[10] E. Rost, Phys. Rev., 154 (1967), 994 | DOI

[11] V. V. Pashkevich, V. M. Strutinskii, Preprint R2-3857, OIYaI, 1968 | MR

[12] L. V. Keldysh, A. N. Kozlov, ZhETF, 54 (1968), 978

[13] R. Kurant, D. Gilbert, Metody matematicheskoi fiziki, tom 1, Gostekhizdat, 1951

[14] M. I. Petrashen, Uch. zap. LGU, ser. fiz. nauk, 7 (1949), 59; S. C. Miller, R. H. Good, Phys. Rev., 91 (1953), 174 | DOI | Zbl

[15] B. N. Kalinkin, Ya. Grabovskii, F. A. Gareev, Acta Phys. Polonica, XXX (1966), 999

[16] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963; А. С. Давыдов, Квантовая механика, Физматгиз, 1968 | MR

[17] A. A. Korneichuk, N. Yu. Shirikova, ZhVM i MF, 7 (1967), 1171

[18] C. W. Clenshaw, A note on the summation of Chebyshev series, 9, MTAC, 1955, 118 ; L. Fox, I. B. Parker, Chebyshew Polynomials in Numerical Analysis, Oxford University Press, 1968 | MR | MR

[19] L. V. Kantorovich, V. I. Krylov, Priblizhennye metody vysshego analiza, Gostekhizdat, 1952 ; С. Г. Михлин, Вариационные методы в математической физике, Гостехиздат, 1957 | MR | MR

[20] P. I. Eberlein, J. Soc. Indust. Appl. Math., 10:1 (1962) | DOI | MR | Zbl

[21] F. A. Gareev, S. P. Ivanova, B. N. Kalinkin, Acta Phys. Polonica, 33 (1968), 135

[22] F. A. Gareev, S. P. Ivanova, N. Yu. Shirikova, Preprint R4-4259, OIYaI, 1960

[23] V. A. Chepurnov, P. E. Nemirovsky, Nucl. Phys., 49 (1963), 90 ; Ф. А. Гареев, С. П. Иванова, Б. Н. Калинкин, Препринт Р4-3325, ОИЯИ, 1967 | DOI

[24] B. L. Anderson, B. B. Back, J. M. Bang, Nucl. Phys., A147 (1970), 33 | DOI | Zbl