The algebraic integrability of the quantum Toda lattice and the Radon transform

DOI10.1007/s00041-008-9048-7zbMath1191.37031OpenAlexW1976606451MaRDI QIDQ1021405

Kaoru Ikeda

Publication date: 8 June 2009

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-008-9048-7

zbMATH Keywords

Fourier integral operatorquantum completely integrable systemthe quantum Toda latticethe Radon transform

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Cites Work

• Unnamed Item
• The solution to a generalized Toda lattice and representation theory
• On Whittaker vectors and representation theory
• Commuting families of symmetric differential operators
• Quantum integrable systems and differential Galois theory
• Generalized Lamé operators
• Elliptic quantum many-body problem and double affine Knizhnik- Zamolodchikov equation
• Commutative partial differential operators

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