An efficient quantum mechanical method for the electronic dynamics of the three-dimensional hydrogen atom interacting with a linearly polarized strong laser pulse (Q675198)

The authors present a method for calculating the electronic wave packet in a hydrogen atom. The numerical difficulties concerning the Coulomb singular point are avoided by the requirement that the wave function is zero in it. For more efficient use of the 3-point finite differences the following generalized cylindrical coordinate system is introduced \((\xi ^\lambda ,z,\varphi )\), where \(\lambda\) is taken equal to \(3/2\). The stability and accuracy of the method are analized in the case of the absence of laser field. The numerical results for the case of the interaction of the atom with a linearly polarized laser pulse are also given.