Geodesic
One-dimensional two-component Bose gas and the~algebraic Bethe ansatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 409-433

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

We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a $\delta$-function repulsive interaction. Using a lattice approximation of the $L$-operator, we find the Bethe vectors of the model in the continuum limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows studying an asymptotic expansion of the monodromy matrix over the spectral parameter.
Keywords: Bethe ansatz, Bethe vector.
Mots-clés : monodromy matrix 
@article{TMF_2015_183_3_a4,
     author = {N. A. Slavnov},
     title = {One-dimensional two-component {Bose} gas and the~algebraic {Bethe} ansatz},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {409--433},
     publisher = {mathdoc},
     volume = {183},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a4/}
}
TY  - JOUR
AU  - N. A. Slavnov
TI  - One-dimensional two-component Bose gas and the~algebraic Bethe ansatz
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 409
EP  - 433
VL  - 183
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a4/
LA  - ru
ID  - TMF_2015_183_3_a4
ER  - 
%0 Journal Article
%A N. A. Slavnov
%T One-dimensional two-component Bose gas and the~algebraic Bethe ansatz
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 409-433
%V 183
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a4/
%G ru
%F TMF_2015_183_3_a4
N. A. Slavnov. One-dimensional two-component Bose gas and the~algebraic Bethe ansatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 409-433. http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a4/