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math-ph2002★ 12 cited
Quasi-exactly solvable models in nonlinear optics
G Alvarez, F Finkel, A Gonzalez-Lopez +1
We study a large class of models with an arbitrary (finite) number of degrees of freedom, described by Hamiltonians which are polynomial in bosonic creation and annihilation operat…
math-ph1999★ 30 cited
A New Algebraization of the Lame Equation
F. Finkel, A. Gonzalez-Lopez, M. A. Rodriguez
We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-m…