Abstract
The complex eigenenergy surfaces of quasistationary states for thehydrogenicStark problem as a function of complex field strength have beencalculated.It is shown that the location of `hidden crossings' of energy surfacesconnected with different states can be obtained from a semiclassicalquantization of `top of the barrier' motion. A numerical calculation of theexcitation of hydrogenic states by an electric field pulse showsan unexpected threshold-like behaviour in the adiabatic regime. Inaddition, thelower the peak-field strength, the higher is the statepopulated maximally. It is found that these effects are correlatedto the position of the `top of the barrier' hiddencrossings as a function of field strength.
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