Geodesic
Quasiclassical asymptotic behavior for Wigner's $3j$-symbols
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 1, pp. 110-121

Voir la notice de l'article provenant de la source Math-Net.Ru

Expressions for Wigner's $3j$-symbols are considered which hold in the asymptotic limit of large quantum numbers of the angular momenta. It is shown that, depending on the quantum numbers of the angular momentum projections, there exist three types of expression: “classical”, “tunnel”, “transition”. Numerical calculations have been made of the values of definite $3j$-symbols in accordance with exact and approximate expressions, and these show that the expressions have a good accuracy already for angular momenta of order 5. 
@article{TMF_1978_34_1_a9,
     author = {K. S. Borodin and A. E. Kroshilin and V. V. Tolmachev},
     title = {Quasiclassical asymptotic behavior for {Wigner's} $3j$-symbols},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {110--121},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a9/}
}
TY  - JOUR
AU  - K. S. Borodin
AU  - A. E. Kroshilin
AU  - V. V. Tolmachev
TI  - Quasiclassical asymptotic behavior for Wigner's $3j$-symbols
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 110
EP  - 121
VL  - 34
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a9/
LA  - ru
ID  - TMF_1978_34_1_a9
ER  - 
%0 Journal Article
%A K. S. Borodin
%A A. E. Kroshilin
%A V. V. Tolmachev
%T Quasiclassical asymptotic behavior for Wigner's $3j$-symbols
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 110-121
%V 34
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a9/
%G ru
%F TMF_1978_34_1_a9
K. S. Borodin; A. E. Kroshilin; V. V. Tolmachev. Quasiclassical asymptotic behavior for Wigner's $3j$-symbols. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 1, pp. 110-121. http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a9/