Relativistic Toda chain
Abstract
Investigated is the relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl's $q$ we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six vertex $R$-matrix. Both independent Baxter's $Q$-operators are constructed explicitly as seria over local Weyl generators. The operator-valued wronskian of $Q$-s is also calculated.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2000
- DOI:
- 10.48550/arXiv.nlin/0009027
- arXiv:
- arXiv:nlin/0009027
- Bibcode:
- 2000nlin......9027P
- Keywords:
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- Exactly Solvable and Integrable Systems;
- 82B20;
- 37K15
- E-Print:
- 21 pages, Latex2e, references are given more accurately