Mixed gauge approach to multiphoton wavefunctions

We p m t a novel method for obtaining Floquet or time-dependent wavefunctions for atoms in laser fields. This method has the potential to be more stable and/or faster than previous, methods. The main idea is IO include the effects of the laser field in a gauge that smoothly changes character as a function of distance. This transformation allows us to formally account for the analytic behaviour of the wavefunction as r + m and as r + 0. We demonstrate the feasibility of this mixed gauge approach thmugh Flcquel calculations on a onedimensional model problem and Lhree-dimensional calculations for the hydrogen atom. Timedependent calculations for a one-dimensional model problem are performed with the mixed gauge. This approach may also be useful for exploring analytic and permrbative properties of the wavefunction in the high-field limit.