Double Inozemtsev Limits of the Quantum DELL System
High Energy Physics - Theory
2022-02-07 v1 Mathematical Physics
math.MP
Abstract
In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both elliptic parameters are sent to zero at different rates, while the coupling constant is sent to infinity, such that a certain combination of the three parameters is kept fixed. We find a regime in which such double Inozemtsev limit of DELL produces the elliptic Ruijsenaars-Schneider (eRS) Hamiltonians albeit in an unconventional normalization. We discuss other double scaling limits and anisotropic scaling of coordinates and momenta. In addition, we provide a formal expression for the eigenvalues of the eRS Hamiltonians solely in terms of their eigenfunctions.
Keywords
Cite
@article{arxiv.2110.02157,
title = {Double Inozemtsev Limits of the Quantum DELL System},
author = {Alexander Gorsky and Peter Koroteev and Olesya Koroteeva and Shamil Shakirov},
journal= {arXiv preprint arXiv:2110.02157},
year = {2022}
}
Comments
14 pages, 4 figures