Quasi-Exactly Solvable Hamiltonians related to Root Spaces
نویسنده
چکیده
sl(2)−Quasi-Exactly-Solvable (QES) generalization of the rationalAn, BCn, G2, F4, E6,7,8 Olshanetsky-Perelomov Hamiltonians including many-body Calogero Hamiltonian is found. This generalization has a form of anharmonic perturbations and it appears naturally when the original rational Hamiltonian is written in a certain Weyl-invariant polynomial variables. It is demonstrated that for the QES Hamiltonian there exists a finite-dimensional invariant subspace in inhomogeneous polynomials. Eigenfunctions and corresponding eigenvalues which belong to this subspace are calculated algebraically.
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تاریخ انتشار 2005