Quantization of a non-Abelian Toda chain

DOI10.1007/BF01084170zbMath0516.58024OpenAlexW2026998531MaRDI QIDQ1052715

Vladimir E. Korepin

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084170

zbMATH Keywords

monodromy matrixcommutation relationsquantum R-matrixdiscrete analogue of the principal chiral fieldone-dimensional evolutionary model on a latticequantization of the non-abelian Toda chain

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) General quantum mechanics and problems of quantization (81S99) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Geometric quantization (53D50)

Related Items (3)

Deformed Dolan-Grady relations in quantum integrable models ⋮ Recursion and Hamiltonian operators for integrable nonabelian difference equations ⋮ Ultralocal solutions for quantum integrable non-ultralocal models

Cites Work

• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Four examples of the inverse method as a canonical transformation
• On the Toda Lattice. II: Inverse-Scattering Solution

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