Geodesic
Generating function for scalar products in the~algebraic Bethe ansatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 453-465

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

We construct a family of determinant representations for scalar products of Bethe vectors in models with $\mathfrak{gl}(3)$ symmetry. This family is defined by a single generating function containing arbitrary complex parameters but is independent of their specific values. Choosing these parameters in different ways, we can obtain different determinant representations.
Mots-clés : scalar product
Keywords: generating function, determinant. 
@article{TMF_2020_204_3_a9,
     author = {N. A. Slavnov},
     title = {Generating function for scalar products in the~algebraic {Bethe} ansatz},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {453--465},
     publisher = {mathdoc},
     volume = {204},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a9/}
}
TY  - JOUR
AU  - N. A. Slavnov
TI  - Generating function for scalar products in the~algebraic Bethe ansatz
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2020
SP  - 453
EP  - 465
VL  - 204
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a9/
LA  - ru
ID  - TMF_2020_204_3_a9
ER  - 
%0 Journal Article
%A N. A. Slavnov
%T Generating function for scalar products in the~algebraic Bethe ansatz
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2020
%P 453-465
%V 204
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a9/
%G ru
%F TMF_2020_204_3_a9
N. A. Slavnov. Generating function for scalar products in the~algebraic Bethe ansatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 453-465. http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a9/