Scientific article
Letter
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English

Double Inozemtsev limits of the quantum DELL system

Published inPhysics letters. B, vol. 826, p. 1-9; 136919
Publication date2022
First online date2022-03-10
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
  • Scaling: anisotropy
  • Hamiltonian
  • Coupling constant
Citation (ISO format)
GORSKY, Alexander et al. Double Inozemtsev limits of the quantum DELL system. In: Physics letters. B, 2022, vol. 826, p. 1–9. doi: 10.1016/j.physletb.2022.136919
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Article (Published version)
Identifiers
Journal ISSN0370-2693
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