Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian

Abstract

It is proved that the two-photon Rabi Hamiltonian is quasi exactly solvable on the basis of the two different quadratic Lie algebras.

10 pages. Typos corrected

References in corpus (4)

• Quasi-exactly solvable models based on special functions
• PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
• Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold
• A novel quasi-exactly solvable spin chain with nearest-neighbors interactions