The Bessel discrete variable representation (DVR) method is tested to describe the interaction of atomic hydrogen with intense laser fields by numerically solving the time-dependent Schrödinger equation. Using the Bessel functions of the first kind, the singular terms, r-2 or r-1 at the origin, in the kinetic energy operators are analytically solved. As an illustration example, the high-order harmonic generation (HOHG) spectra in atomic hydrogen is calculated in length and acceleration forms. From the numerical results, it is concluded that this simple Bessel DVR may be a useful method for describing the interaction of atomic hydrogen with intense laser fields.
Threshold shift and above-threshold multiphoton ionization of atomic hydrogen in intense laser fields
