Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras

DOI10.1007/BF01018915zbMath0517.58023OpenAlexW2001961481MaRDI QIDQ1053332

S. Yu. Dobrokhotov, Yu. M. Vorob'ev

Publication date: 1983

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01018915

zbMATH Keywords

asymptotic representationHamilton operatorMaslov methodquantum periodic Toda chain

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Related Items (2)

Semiclassical spectral series of a quantum Schrödinger operator corresponding to a singular circle composed of equilibria ⋮ Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice

Cites Work

• Construction of unitary irreducible representations of Lie groups
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Unnamed Item

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