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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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