Hidden sl(2)-Symmetry of the Generalized Landau-Zener Vibronic Model
Abstract
The one-dimensional harmonic vibronic model, which is a generalization of the so-called linear Landau-Zener model and appears in the form of coupled Schr\"odinger equations, is revisited. After decoupling the components, the resulting fourth-order equation is shown to have a hidden sl(2) algebra. The so-called exceptional part of the spectrum is then expressed in a rather simple way. For completeness, the eigenfunctions are obtained via the Bethe ansatz approach directly in position space.
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