English

Relativistic Toda chain

Exactly Solvable and Integrable Systems 2007-05-23 v3

Abstract

Investigated is the relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl's qq we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six vertex RR-matrix. Both independent Baxter's QQ-operators are constructed explicitly as seria over local Weyl generators. The operator-valued wronskian of QQ-s is also calculated.

Keywords

Cite

@article{arxiv.nlin/0009027,
  title  = {Relativistic Toda chain},
  author = {G. Pronko and S. Sergeev},
  journal= {arXiv preprint arXiv:nlin/0009027},
  year   = {2007}
}

Comments

21 pages, Latex2e, references are given more accurately

R2 v1 2026-07-22T18:07:19.318Z