10 citations · 26 across the 8 of their papers we have counts for
8 papers
Nested Bethe Ansatz for RTT-Algebra
C. Burdik, O. Navratil
This paper continues our recent studies on the algebraic Bethe ansatz for the RTT-algebras of sp() and o() types. In these studies, we encountered the RTT-algebras which we…
Nested Bethe Ansatz for RTT Algebra of U_q(sp(2n) Type
C. Burdik, O. Navratil
We study the highest weight representations of the RTT algebras for the R matrix of sp_q(2n) type by the nested algebraic Bethe ansatz. It is a generalization of our study for R ma…
Nested Bethe ansatz for RTT--algebra of sp(4) type
Cestmir Burdik, Ondrej Navratil
We study the highest weight representations of the RTT--algebras for the R--matrix sp(4) type by the nested algebraic Bethe ansatz. These models were solved by Reshetikhin for sp(2…
Remarks towards the spectrum of the Heisenberg spin chain type models
C. Burdik, J. Fuksa, A. P. Isaev +2
The integrable close and open chain models can be formulated in terms of generators of the Hecke algebras. In this review paper, we describe in detail the Bethe ansatz for the XXX…
New Formula for the Eigenvectors of the Gaudin Model in the sl(3) Case
C. Burdik, O. Navratil
We propose new formulas for eigenvectors of the Gaudin model in the $\sl(3)$ case. The central point of the construction is the explicit form of some operator P, which is used for…
On the Fock Space Realizations of Nonlinear Algebras Describing the High Spin Fields in AdS Spaces
C. Burdik, O. Navratil, A. Pashnev
The method of construction of Fock space realizations of Lie algebras is generalized for nonlinear algebras. We consider as an example the nonlinear algebra of constraints which de…
Nonlinear Superposition Formulas Based on Lie Group SO(n+1,n)
C. Burdik, O. Navratil
Systems of nonlinear ordinary differential equations are constructed, for which the general solution is algebraically expressed in terms of a finite number of particular solutions.…
The q-Boson Realizations of the Quantum Group
C. Burdik, L. Cerny, O. Navratil
We give explicit expression of recurrency formulae of canonical realization for quantum enveloping algebras . In these formulas the generators of the algebra $U_{…