Geodesic
Quantum relativistic Toda lattice
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 71-85 
V. B. Kuznetsov; A. V. Tsyganov. Quantum relativistic Toda lattice. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 71-85. http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a5/
@article{ZNSL_1993_205_a5,
     author = {V. B. Kuznetsov and A. V. Tsyganov},
     title = {Quantum relativistic {Toda} lattice},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {71--85},
     year = {1993},
     volume = {205},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a5/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

$q$-deformations of Toda lattices connected with infinite series of Lie algebras and their affine analogues are described. The corresponding $2\times2$ $L$-operators satisfying the standard quadratic algebra of XXZ-type are constructed. The procedure of separation of variables in the quantum case is described. Bibliography: 14 titles.