Baxter T-Q equation for shape invariant potentials. The finite-gap potentials case

DOI10.1063/1.1426689zbMath1059.81080arXivhep-th/0006074OpenAlexW3098390516MaRDI QIDQ4830712

O. Lipan, Constantin Rasinariu

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0006074

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
• Cyclic shape invariant potentials.
• Periodic fixed points of Bäcklund transformations
• On Bäcklund transformations for many-body systems
• Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
• Quantum Bäcklund transformation for the integrable DST model
• Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation
• Periodic and almost-periodic potentials in inverse problems

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