### Abstract

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 Q s is also calculated.

Original language | English |
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Pages (from-to) | 47-68 |

Number of pages | 22 |

Journal | Journal of Applied Mathematics |

Volume | 1 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2001 |

Externally published | Yes |

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### Cite this

*Journal of Applied Mathematics*,

*1*(2), 47-68. https://doi.org/10.1155/S1110757X01000055

}

*Journal of Applied Mathematics*, vol. 1, no. 2, pp. 47-68. https://doi.org/10.1155/S1110757X01000055

**Quantum relativistic Toda chain.** / Pronko, G. P.; Sergeev, Sergei.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Quantum relativistic Toda chain

AU - Pronko, G. P.

AU - Sergeev, Sergei

PY - 2001

Y1 - 2001

N2 - 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 Q s is also calculated.

AB - 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 Q s is also calculated.

KW - quantum relativistic Toda chain

UR - http://www.scopus.com/inward/record.url?scp=0041995050&partnerID=8YFLogxK

U2 - 10.1155/S1110757X01000055

DO - 10.1155/S1110757X01000055

M3 - Article

VL - 1

SP - 47

EP - 68

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

SN - 1110-757X

IS - 2

ER -