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math-ph2009★ 18 cited
Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
S. N. Dolya
It is proved that the two-photon Rabi Hamiltonian is quasi exactly solvable on the basis of the two different quadratic Lie algebras.
math-ph2008★ 10 cited
Quasi-exactly solvable models based on special functions
S. N. Dolya
We suggest a systematic method of extension of quasi-exactly solvable (QES) systems. We construct finite-dimensional subspaces on the basis of special functions (hypergeometric, Ai…