# Simple, accurate, and efficient implementation of 1-electron atomic time-dependent Schrödinger equation in spherical coordinates

## Description

Abstract Modelling atomic processes in intense laser fields often relies on solving the time-dependent Schrödinger equation (TDSE). For processes involving ionisation, such as above-threshold ionisation (ATI) and high-harmonic generation (HHG), this is a formidable task even if only one electron is active. Several powerful ideas for efficient implementation of atomic TDSE were introduced by H.G. Muller some time ago (Muller, 1999), including: separation of Hamiltonian terms into tri-diagonal parts; im... Title of program: SCID-TDSE: Time-dependent solution of 1-electron atomic Schrödinger equation in strong laser fields. Catalogue Id: AEYM_v1_0 Nature of problem Time propagation of non-relativistic 1-electron Schrödinger equation for a central potential, under the influence of a long-wavelength laser field treated in the velocity-gauge dipole approximation. Versions of this program held in the CPC repository in Mendeley Data AEYM_v1_0; SCID-TDSE: Time-dependent solution of 1-electron atomic Schrödinger equation in strong laser fields.; 10.1016/j.cpc.2015.10.014 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)