On the quantum \(\mathfrak{osp}(1|2\ell)\) Toda chain

DOI10.1134/S004057792108002XzbMath1471.81039arXiv2012.08902OpenAlexW3194655703MaRDI QIDQ2047691

Yanyan Li

Publication date: 23 August 2021

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

Full work available at URL: https://arxiv.org/abs/2012.08902

zbMATH Keywords

orthosymplectic Lie superalgebraquantum Toda chain\(BC\)-type root system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Superalgebras (17A70) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Orthogonal matrices (15B10) Root systems (17B22) Special quantum systems, such as solvable systems (81Q80) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

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• Whittaker functions on semisimple Lie groups
• A sketch of Lie superalgebra theory
• On Whittaker vectors and representation theory
• Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems
• New integral representations of Whittaker functions for classical Lie groups
• Quantum Toda chains intertwined
• Boundary conditions for integrable quantum systems
• Fonctions de Whittaker associées aux groupes de Chevalley
• Lie superalgebras

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