Affordable Access

On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models

Authors
  • Derkachov, Sergey
  • Kozlowski, Karol
  • Manashov, Alexander
Publication Date
Jul 02, 2018
Source
HAL
Keywords
Language
English
License
Unknown
External links

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 $\boldsymbol{ \texttt{B} }(\la)$-operator for the odd length lattice Sinh-Gordon model.

Report this publication

Statistics

Seen <100 times