On the relationship between the translationally invariant shell model and the $K$-harmonics method
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 45-55 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A study is made of the relationship between the translationally invariant shell model and the $K$-harmonics method. This makes it possible to exploit the apparatus developed in the former method for the construction of $K$ harmonics with arbitrary $K$.
@article{TMF_1971_7_1_a5,
     author = {I. V. Kurdyumov and Yu. F. Smirnov and K. V. Shitikova},
     title = {On the relationship between the translationally invariant shell model and the $K$-harmonics method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {45--55},
     year = {1971},
     volume = {7},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a5/}
}
TY  - JOUR
AU  - I. V. Kurdyumov
AU  - Yu. F. Smirnov
AU  - K. V. Shitikova
TI  - On the relationship between the translationally invariant shell model and the $K$-harmonics method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 45
EP  - 55
VL  - 7
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a5/
LA  - ru
ID  - TMF_1971_7_1_a5
ER  - 
%0 Journal Article
%A I. V. Kurdyumov
%A Yu. F. Smirnov
%A K. V. Shitikova
%T On the relationship between the translationally invariant shell model and the $K$-harmonics method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 45-55
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a5/
%G ru
%F TMF_1971_7_1_a5
I. V. Kurdyumov; Yu. F. Smirnov; K. V. Shitikova. On the relationship between the translationally invariant shell model and the $K$-harmonics method. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 45-55. http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a5/

[1] Yu. A. Simonov, YaF, 3 (1966), 630 | MR

[2] A. M. Badalyan, E. S. Galpern, V. P. Lyakhovitskii, V. V. Pustovalov, Yu. A. Simonov, E. L. Surkov, YaF, 6 (1967), 473; А. М. Бадалян, Е. С. Гальперн, В. П. Ляховицкий, ЯФ, 8 (1968), 313

[3] A. M. Badalyan, Yu. A. Simonov, YaF, 9 (1969), 69

[4] A. I. Baz, M. V. Zhukov, YaF, 11 (1970), 779

[5] A. I. Baz, M. V. Zhukov, K. V. Shitikova, YaF (to appear)

[6] M. Kretzschmar, Z. Phys., 157, 433 ; (1959), 558 ; 158 (1960), 284 | DOI | MR | Zbl | MR | DOI | MR | Zbl

[7] Yu. F. Smirnov, K. V. Shitikova, Izv. AN SSSR, ser. fiz., 26 (1963), 1442

[8] I. V. Kurdyumov, Yu. F. Smirnov, K. V. Shitikova, S. Kh. El Samarai, Izv. AN SSSR, ser. fiz., 33 (1969), 150; Ю. Ф. Смирнов, К. В. Шитикова, С. Х. Эль Самараи, Вестн. МГУ, сер. физ., 2 (1968), 33; I. V. Kurdyumov, Yu. F. Smirnov, K. V. Shitikova, S. Kh. El. Samarai, Nucl. Phys., A145 (1970), 593 ; Yu. F. Smirnov, Clustering Phenomena in Nuclei, IAEA, Vienna, 1969, 153; В. Г. Неудачин, Ю. Ф. Смирнов, Нуклонные ассоциации в легких ядрах, «Наука», 1969; P. Kramer, M. Moshinsky, Nucl. Phys., A125 (1969), 321 | DOI | MR | DOI

[9] V. V. Vanagas, A. K. Petrauskas, YaF, 5 (1967), 555; 7 (1968), 1001

[10] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, «Nauka», 1965 | MR

[11] M. Moshinsky, The Harmonic Oscillator in Modern Physics: From atoms to quarks, Gordon and Breach, New York, 1969

[12] Zh. Kampe de Fere i dr., Funktsii matematicheskoi fiziki, Fizmatgiz, 1963

[13] J. Raynal, J. Revai, Preprint Sacley, 1969 | MR

[14] T. A. Brody, M. Moshinsky, Table of Transformations Brackets, Mexico, 1960

[15] R. M. Asherova, Yu. F. Smirnov, UMN, 24 (1969), 227 | MR | Zbl

[16] I. G. Kaplan, Simmetriya mnogoelektronnykh sistem, «Nauka», 1969 | MR | Zbl

[17] H. A. Jahn, H. van Weiringen, Proc. Roy. Soc., A209 (1951), 602