The Euler-Calogero-Moser model in an external potential---Yangian and loop algebra

DOI10.1016/0375-9601(94)01013-KzbMath1020.81644OpenAlexW2005772636WikidataQ128133490 ScholiaQ128133490MaRDI QIDQ1965417

Kazuhiro Hikami

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)01013-k

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Virasoro and related algebras (17B68) Inverse scattering problems in quantum theory (81U40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Deformation of YangianY(sl₂)

Cites Work

• Classical integrability and higher symmetries of collective string field theory.
• A generalisation of the Calogero-Moser system
• Three integrable Hamiltonian systems connected with isospectral deformations
• \(R\)-matrices for elliptic Calogero-Moser models
• Integrable extensions of the rational and trigonometric \(A_N\) Calogero-Moser potentials
• The \(r\)-matrix structure of the Euler-Calogero-Moser model
• Exact Yangian symmetry in the classical Euler-Calogero-Moser model
• On additional symmetry: The many-body problem related to the KP hierarchy
• Yang-Baxter equation in long-range interacting systems
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• The spectral theory of a functional-difference operator in conformal field theory

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