Quantum relativistic Toda chain

Pronko, G.; Sergeev, Sergei

J. Appl. Math., Tome 1 (2001) no. 2, p. 47-68 / Harvested from Project Euclid

Résumé

Investigated is the quantum 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 $R$ -matrix. Both independent Baxter’s $Qs$ is also calculated.

Publié le : 2001-05-14
Classification: 82B23, 37K15

@article{1047575697,
     author = {Pronko, G. and Sergeev, Sergei},
     title = {Quantum relativistic Toda chain},
     journal = {J. Appl. Math.},
     volume = {1},
     number = {2},
     year = {2001},
     pages = { 47-68},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047575697}
}

Pronko, G.; Sergeev, Sergei. Quantum relativistic Toda chain. J. Appl. Math., Tome 1 (2001) no. 2, pp.  47-68. http://gdmltest.u-ga.fr/item/1047575697/