Prolate spheroidal coordinates for calculations of rates for multiphoton ionization of H2+

The validity of using the spheroidal coordinates in the problem of multiphoton ionization of H2+ is investigated in conjunction with a method that is highly efficient in the calculation of rates for multiphoton ionization of H atom in the nonperturbative intensities of laser by resuming the Rayleigh-Schroedinger perturbation series. This method takes advantages of the separability of the Hamiltonian, which in turn enables us to calculate rates of multiphoton ionization for more complex atoms or molecules. We utilize the efficiency to apply this method to the case of H2+ and compare the results to those of H atom. This method turns out to be as efficient as in the H atom calculation over a finite range of frequencies in contrast with the failure for very high or low frequencies and the reason of which are also discussed.