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- Title
Quantum Hamiltonians Generated by the R-Matrix of the Five-Vertex Model.
- Authors
Burenev, I. N.; Pronko, A. G.
- Abstract
We consider solutions of the RLL-relation with the 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 coincides with the Fock space of quantum oscillator, the solution of the RLL-relation gives a 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 the inhomogeneous systems in external fields, both in the finite- and infinite-dimensional cases.
- Subjects
FOCK spaces
- Publication
Journal of Mathematical Sciences, 2022, Vol 264, Issue 3, p271
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-022-05997-4