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000424236 1001_ $$0P:(DE-HGF)0$$aDerkachov, Sergey É.$$b0
000424236 245__ $$aOn the Separation of Variables for the Modular XXZ Magnet and the Lattice Sinh-Gordon Models
000424236 260__ $$aCham, Switzerland$$bSpringer International Publishing AG$$c2019
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000424236 520__ $$aWe construct the generalised eigenfunctions of the entries of the monodromy matrix of the N-site modular XXZ magnet and show, in each case, that these form a complete orthogonal system in $L^{2}(\mathbb{R}^{N})$. In particular, we develop a new and simple technique, allowing one to prove the completeness of such systems. As a corollary of our analysis, we prove the Bytsko–Teschner conjecture relative to the structure of the spectrum of the $B(λ)$-operator for the odd length lattice Sinh-Gordon model.
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000424236 650_7 $$2INSPIRE$$amonodromy
000424236 650_7 $$2INSPIRE$$aXXZ model
000424236 650_7 $$2INSPIRE$$asine-Gordon model
000424236 650_7 $$2INSPIRE$$aoperator: spectrum
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000424236 7001_ $$0P:(DE-HGF)0$$aKozlowski, Karol K.$$b1$$eCorresponding author
000424236 7001_ $$0P:(DE-H253)PIP1024579$$aManashov, Alexander N.$$b2
000424236 773__ $$0PERI:(DE-600)2019605-2$$a10.1007/s00023-019-00806-2$$gVol. 20, no. 8, p. 2623 - 2670$$n8$$p2623 - 2670$$tAnnales Henri Poincaré$$v20$$x1424-0637$$y2019
000424236 7870_ $$0PUBDB-2018-02538$$aDerkachov, Sergey E. et.al.$$d2018$$iIsParent$$rDESY-18-088 ; arXiv:1806.04487$$tOn the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models
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