Real-space wave-packet propagation method: Application to photoabsorption processes of hydrogen atoms

A theoretical method of real-space wave-packet propagations with patch meshes is used to study the photoabsorption processes of hydrogen atoms. A complete spectrum of optical oscillator strength densities for transitions from the 1s state to the final states of p channel including infinite Rydberg series and adjacent continuum states is calculated. The calculation result agrees well with the analytical solution of hydrogen atoms. The present proposed method should be very useful in applications of various quantum dynamical processes.