output
19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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7 papers · 1 filter

nlin.SI2013★ 3 cited

Jordanian deformation of the open sl(2) Gaudin model

N. Cirilo António, N. Manojlović, Z. Nagy

We derive the deformed sl(2) Gaudin model with integrable boundaries. Starting from the Jordanian deformation of the SL(2)-invariant Yang R-matrix and generic solutions of the asso…

nlin.SI2013★ 14 cited

Trigonometric sl(2) Gaudin model with boundary terms

N. Cirilo António, N. Manojlović, Z. Nagy

We review the derivation of the Gaudin model with integrable boundaries. Starting from the non-symmetric R-matrix of the inhomogeneous spin-1/2 XXZ chain and generic solutions of t…

nlin.SI2011★ 10 cited

Billiard algebra, integrable line congruences, and double reflection nets

Vladimir Dragovic, Milena Radnovic

The billiard systems within quadrics, playing the role of discrete analogues of geodesics on ellipsoids, are incorporated into the theory of integrable quad-graphs. An initial obse…

nlin.SI2010★ 7 cited

Algebraic Bethe Ansatz for deformed Gaudin model

N. Cirilo-Antonio, N. Manojlovic, A. Stolin

The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining t…

nlin.SI2009★ 10 cited

Jordanian deformation of the open XXX-spin chain

P. P. Kulish, N. Manojlovic, Z. Nagy

The general solution to the reflection equation associated with the jordanian deformation of the SL(2) invariant Yang R-matrix is found. The same K-matrix is obtained by the specia…

nlin.SI2009★ 17 cited

Symmetries of spin systems and Birman-Wenzl-Murakami algebra

P. P. Kulish, N. Manojlovic, Z. Nagy

We consider integrable open spin chains related to the quantum affine algebras U_q(o(3)) and U_q(A_2^{(2)}). We discuss the symmetry algebras of these chains with the local C^3 spa…

nlin.SI2009★ 69 cited

Bifurcations of Liouville Tori in Elliptical Billiards

Vladimir Dragovic, Milena Radnovic

A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are const…