Derkachov, Sergey E. and Kozlowski, Karol K. and Manashov, Alexander N. (2019) On the Separation of Variables for the Modular XXZ Magnet and the Lattice Sinh-Gordon Models. ANNALES HENRI POINCARE, 20 (8). pp. 2623-2670. ISSN 1424-0637, 1424-0661
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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 L2(RN). 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(lambda)-operator for the odd length lattice Sinh-Gordon model.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TODA CHAIN; Q-OPERATOR; REPRESENTATIONS; EIGENFUNCTIONS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Apr 2020 06:15 |
| Last Modified: | 07 Apr 2020 06:15 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26558 |
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