Double Inozemtsev limits of the quantum DELL system

Article Article scientifique Lettre Double Inozemtsev limits of the quantum DELL system eng 2022-03-10 2022 author Gorsky Alexander IITP, Moscow author Koroteev Peter UC, Berkeley, Math. Dept. author Koroteeva Olesya Minnesota U. author Shakirov Shamil Geneva U. 959164 1-9 136919 10.1016/j.physletb.2022.136919 0370-2693 2110.02157 https://linkinghub.elsevier.com/retrieve/pii/S0370269322000533 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. Scaling: anisotropy Hamiltonian Coupling constant Dewey 510 25 Section de mathématiques 11 false Physics letters. B 826 d730b856-bd65-4367-887d-16809ff3cf90 Article (Published version) Public 1-s2.0-S0370269322000533-main.pdf 463014 application/pdf CC BY-4.0 70767e381f4cf1d7c9cbddbed1f21610aa7649f554d2cf0267961f8f80ecd357 openAccess Faculté des sciences / Section de mathématiques

Title	Published in	Access level	OA Policy	Year	Views	Downloads

Double Inozemtsev limits of the quantum DELL system	Physics letters. B			2022	87	342

Archive ouverte UNIGE

Shakirov, Shamil