Geodesic
Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 103-124

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

We consider solutions of the RLL-relation with the $\mathrm{R}$-matrix related to the five-vertex model. We show that in the case where the quantum space of the $L$-operator is infinite-dimensional and described the Fock space of quantum oscillator, the solution of the RLL-relation gives the phase model with two external fields. In the case of a two-dimensional quantum space, there exist two solutions each corresponding to the five-vertex model, and their special case, corresponding to the four-vertex model. We also derive explicit expressions for quantum Hamiltonians for inhomogeneous in the external fields systems, both in the finite-dimensional and infinite-dimensional cases. 
@article{ZNSL_2020_494_a5,
     author = {I. N. Burenev and A. G. Pronko},
     title = {Quantum {Hamiltonians} generated by the $\mathrm{R}$-matrix of the five-vertex model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {103--124},
     publisher = {mathdoc},
     volume = {494},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a5/}
}
TY  - JOUR
AU  - I. N. Burenev
AU  - A. G. Pronko
TI  - Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2020
SP  - 103
EP  - 124
VL  - 494
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a5/
LA  - ru
ID  - ZNSL_2020_494_a5
ER  - 
%0 Journal Article
%A I. N. Burenev
%A A. G. Pronko
%T Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model
%J Zapiski Nauchnykh Seminarov POMI
%D 2020
%P 103-124
%V 494
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a5/
%G ru
%F ZNSL_2020_494_a5
I. N. Burenev; A. G. Pronko. Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 103-124. http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a5/