Theory of~Generalized coherent states of~the groups $SU_n$
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 54-63
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Close connection between algebraic properties of generalised coherent states (GCS) and algebras of generating invariants of $SU_n$ groups is established. Methods of calculating the matrix elements in GCS of finite transformations and generators of $SU_n$ groups and also finding the coefficients (analogous to the Klebsch–Gordan coefficients) of expansions of GCS products over the GCS of $SU_n$ groups are presented. Possibilities of applications of the results obtained to the theory of the interaction between the radiation and substance are discussed.
@article{TMF_1980_45_1_a4,
author = {V. P. Karassiov and L. A. Shelepin},
title = {Theory {of~Generalized} coherent states of~the groups $SU_n$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {54--63},
publisher = {mathdoc},
volume = {45},
number = {1},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a4/}
}
TY - JOUR AU - V. P. Karassiov AU - L. A. Shelepin TI - Theory of~Generalized coherent states of~the groups $SU_n$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1980 SP - 54 EP - 63 VL - 45 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a4/ LA - ru ID - TMF_1980_45_1_a4 ER -
V. P. Karassiov; L. A. Shelepin. Theory of~Generalized coherent states of~the groups $SU_n$. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 54-63. http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a4/