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Computation of the ac Stark effect in the ground state of atomic hydrogen

1988; American Physical Society; Volume: 61; Issue: 23 Linguagem: Inglês

10.1103/physrevlett.61.2673

1092-0145

Laura L. Pan, K. T. Taylor, Charles W. Clark,

Quantum chaos and dynamical systems

Using a Sturmian function expansion we have computed the nth order coefficients ${\mathrm{E}}_{\mathrm{n}}$(\ensuremath{\omega}), for 2\ensuremath{\le}n\ensuremath{\le}22, in the perturbation expansion of the ac Stark effect in the hydrogen 1s state. An ``effective convergence'' similar to that in the dc case is observed. A parametrization of these coefficients, based upon the analytic structure of the Coulomb Green's function, separates the rapid oscillatory resonant behavior and the smooth background variation with respect to \ensuremath{\omega}.