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@ARTICLE{Derkachov:407554,
      author       = {Derkachov, Sergey E. and Kozlowski, Karol K. and Manashov,
                      Alexander N.},
      title        = {{O}n the separation of variables for the modular {XXZ}
                      magnet and the lattice {S}inh-{G}ordon models},
      reportid     = {PUBDB-2018-02538, DESY-18-088. arXiv:1806.04487},
      year         = {2018},
      abstract     = {We 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 out
                      analysis, we prove the Bystko-Teschner conjecture relative
                      to the structure of the spectrum of the $\mathrm{B}
                      (\lambda)$-operator for the odd length lattice Sinh-Gordon
                      model.},
      keywords     = {modular (INSPIRE) / lattice field theory (INSPIRE) / magnet
                      (INSPIRE) / monodromy (INSPIRE) / XXZ model (INSPIRE) /
                      sine-Gordon model (INSPIRE) / operator: spectrum (INSPIRE) /
                      Hilbert space (INSPIRE) / Mellin transformation (INSPIRE)},
      cin          = {UNI/TH},
      cid          = {$I:(DE-H253)UNI_TH-20120731$},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611)},
      pid          = {G:(DE-HGF)POF3-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)29},
      eprint       = {1806.04487},
      howpublished = {arXiv:1806.04487},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1806.04487;\%\%$},
      doi          = {10.3204/PUBDB-2018-02538},
      url          = {https://bib-pubdb1.desy.de/record/407554},
}