Perturbative and Non-Perturbative Calculations of Photoionization of H$_2^+$*

We present both non-perturbative and perturbative calculations for photoionization of H$^+_2$. For the perturbative approach, we have investigated two different final state wavefunctions for the ionized electron. The first wavefunction is a product of two Coulomb functions (2C) where each Coulomb function represents the two-body interaction between the ionized electron and one of the residual protons in the nucleus. The second final state wavefunction, we investigated was a distorted wave for the ionized electron calculated using a spherically symmetric potential for the two residual protons. These methods are compared to the results computed using the non-perturbative time-dependent method. The time-dependent method solves the time-dependent Schrodinger equation for H$^+_2$ using the variational principle in spherical coordinates centered on the center of mass of the H$^+_2$ system.