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nlin.SIJun 3, 2013
12
citations (OpenAlex)
authors
  • Evgeny Sklyanin
institutions
  • University of York
arXiv abstractPDF
paper

Bispectrality for the quantum open Toda chain

arXiv:1306.0454 · doi:10.1088/1751-8113/46/38/382001

Abstract

An alternative to Babelon's (2003) construction of dual variables for the quantum open Toda chain is proposed that is based on the 2x2 Lax matrix and the corresponding quadratic R-matrix algebra.

Cited by in corpus (10)

  • On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
  • Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
  • Dualities in quantum integrable many-body systems and integrable probabilities -- I
  • Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction
  • The discrete Toda equation revisited, dual β-Grothendieck polynomial, ultradiscretization and static soliton
  • Integrable boundary interactions for Ruijsenaars' difference Toda chain
  • Aspects of the inverse problem for the Toda chain
  • Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver
  • Bispectral dual difference equations for the quantum Toda chain with boundary perturbations
  • Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
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