AFFINE LIE ALGEBRAS AND CALOGERO SYSTEMS
Copyright policy )AFFINE LIE ALGEBRAS AND CALOGERO SYSTEMS
It is known that the Hamiltonian of the \(n\)-particle quantum rational Calogero model with a particular value of the parameter can be identified with the radial part of the Laplacian on the space \(p/K\). Here \(p\) is the Lie algebra of symmetric, anti-hermitian, traceless \(n\times n\) matrices and \(K=SO(n)\). The author shows that the Hamiltonian of the quantum trigonometric Calogero model (the Calogero-Sutherland model) can be identified with the radial part of the Laplacian on an affine algebraic version of \(p/K\).
- Kindai University Japan
Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, integrable Hamiltonian models, quantum Calogero models, Infinite-dimensional Lie (super)algebras, affine Lie algebras
Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, integrable Hamiltonian models, quantum Calogero models, Infinite-dimensional Lie (super)algebras, affine Lie algebras
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