Quasi-exact-solution of the Generalized Exe Jahn-Teller Hamiltonian

Abstract

We consider the solution of a generalized Exe Jahn-Teller Hamiltonian in the context of quasi-exactly solvable spectral problems. This Hamiltonian is expressed in terms of the generators of the osp(2,2) Lie algebra. Analytical expressions are obtained for eigenstates and eigenvalues. The solutions lead to a number of earlier results discussed in the literature. However, our approach renders a new understanding of ``exact isolated'' solutions.

References in corpus (1)

• Quasi-Exactly-Solvable Differential Equations

Cited by in corpus (6)

• Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution
• Algebraic treatments of the problems of the spin-1/2 particles in the one and two-dimensional geometry: a systematic study
• Differential Realizations of the Two-Mode Bosonic and Fermionic Hamiltonians: A unified Approach
• Solution of spin-boson systems in one and two-dimensional geometry via the asymptotic iteration method
• Solution of the Bosonic and Algebraic Hamiltonians by using AIM
• Development of an approximate method for quantum optical models and their pseudo-Hermicity