Studies of the Quantum Dynamics of Rydberg Electrons in Superintense Laser Fields Using Discrete Variable Representations

Accurate and efficient non-adiabatic quantum molecular dynamics approach for laser–matter interactions

“…The Lagrange mesh method is a basis set method founded on Lagrange interpolation and Gaussian quadrature. It is a special case of the discrete variable representation method [25] which has been extensively applied to both time-independent problems [26,27] and timedependent problems [28][29][30]. In this section we give an outline of the method and show how it can be applied to the treatment of the ρ and φ coordinates in cylindrical coordinates.…”

Calculations of photodissociation and photoionization cross sections by using a recursive expansion of Green's operator with absorbing boundary conditions

“…While the concepts such as DVR, absorbing potentials and recursive expansions of the resolvent operator are now widely used in molecular physics (see e.g. [2,3,12,18] and references therein) the applications in atomic physics are scarce [9,21]. We shall therefore demonstrate the application of formulae (2.12) and (2.13) on two simple one-dimensional photodissociation problems and put the emphasis on photoionization of hydrogen atoms in the absence and presence of (strong) magnetic fields.…”