We use a L2-discretization technique for solving the time-dependent Schr¨odinger equation for H+ 2 interacting with a short vuv laser pulse, in the Born-Oppenheimer approximation. The calculations include the electronic three-dimensional and vibrational one-dimensional motions. In this approach, we use the prolate spheroidal coordinate system to describe the electronic functions and a basis of Laguerre and Legendre functions [Phys. Rev. A 71, 053407 (2005)]. The vibrational motion is treated by using a basis of Sturmian functions.We consider the problem of two-photon dissociation of H+2 with photons ranging from 0.32 to 0.4 a.u corresponding to wavelengths from 143 to 114 nm. The initial vibrational wave packet results from a vertical (Franck-Condon) transition from the H2 ground state towards a superposition of vibrational states in the 1sσg electronic state of H+2 . The effects of various types of nuclear interference on the population of the dissociative channels 2sσg and 3dσg are discussed in detail. In addition, we show that for 0.32-a.u. photon energy, the interference effects in the 3dσg channel whose existence has been demonstrated previously [Phys. Rev. Lett. 102, 123001 (2009)] can be observed in the total kinetic energy release spectrum.
Mezoui Ndo, D. V., Piraux, B., Barmaki, S., & et al. (2012). Nuclear interference processes in the dissociation of H2+ in short vuv laser fields. Physical review. A, Atomic, molecular, and optical physics, 86(1), art n° 013416. https://doi.org/10.1103/PhysRevA.86.013416 (Original work published 2012)