  We present a highly accurate method for solving single-active-electron (SAE)
atomic eigenset in momentum space. The trouble of Coulomb kernel singularity is
bypassed with numerical quadrature, which is simple but effective. The
complicated Lande regularization method is no longer necessary. The data of
accuracy for some low-lying states of the hydrogen and SAE helium atom were
tabulated. Two examples of using the generated eigenset to solve the hydrogen
atom under strong-field laser pulses were shown. The momentum and the
coordinate representation are complementary to each other in quantum mechanics.
The simple method to generate eigenstates and the localized behavior of wave
functions in momentum space would be useful in the study of quantum mechanical
problems involving continuous states.
