The stabilization of real hydrogen atom rather than the model under the inf
luence of high frequency superstrong laser pulse is investigated by numeric
al integration of time-dependent Schrodinger equation. The target wavefunct
ions are expanded in terms of a discrete L-2 basis. The evidence of stabili
zation as found by Su et al. for 1D model atom using the split operator tec
hnique has been confirmed for the hydrogen atom using L-2 technique. (C) 20
01 Elsevier Science B.V. All rights reserved.