Ionizable hydrogen atom

There are also solutions to the radial differential equation (6.17) for positive values of the energy E, which correspond to the ionization of the hydrogen-like atom. In the limit r oo, equations (6.17) and (6.18) for positive E become... 

J. D. Silver The spectroscopy of hydrogen-like highly ionized atoms , in The Hydrogen Atom, ed. by G. F. Bassani, M. Inguscio and T. W. Hansch (Springer-Verlag, 1989) pp. 221-237... 

Using an apparatus of the type shown in Fig. 7.1, Bayfield and Koch (1974) conducted an ionization experiment with hydrogen Rydberg atoms that were prepared in the band 63 < tiq < 69 and exposed to electromagnetic radiation of three different frequencies Wj = 2nfi, with fi = 30 MHz,... 

Fig. 7.2. Ionization probability (in arbitrary units) versus field strength for hydrogen Rydberg atoms prepared in states 63 < no < 69 and irradiated with three different electromagnetic fields of firequencies 30 MHz (triangles), 1.5GHz (squares) and 9.9 GHz (circles). The full line connecting the 30 MHz data is drawn to guide the eye. The data for this figure were compiled from Bayfield and Koch (1974).

Fig. 7.3. Ionization probability versus field strength for hydrogen Rydberg atoms prepared in the states 36 < no < 40 (panels (a) - (e), respectively) and ionized at 9.92 GHz. Dashed lines experimental data. Full lines Results of quantum mechanical model calculations discussed in Section 7.2. (From Bliimel and Smilansky (1987).)...

The three switches defined above rest on the mechanism of interspersed resonances, which was first suggested theoretically by Howard (1991). In the following we demonstrate the action of such a switch in the case of bichromatically driven hydrogen Rydberg atoms. It results in the prediction of a new kind of ionization peak in the microwave ionization of hydrogen Rydberg atoms. Recently performed experiments indicate that the effect actually exists. 

Fig. 7.8. Ionization probabilities of bichromatically driven hydrogen Rydberg atoms as a function of ui obtained by various methods. Ftdl line resoance overlap model crosses classical Monte Carlo simulations open squares quantum calculations open circles with error bars experimental results. (Adapted from Haffmans et al. (1994).)...

Bliimel, R. (1994b). Microwave ionization of hydrogen Rydberg atoms Resonance analysis and critical fields, Phys. Rev. A49, 4787-4793. 

Bliimel, R. and Smilansky, U. (1990b). Ionization of hydrogen Rydberg atoms in strong monochromatic and bichromatic microwave fields, J. Opt. Soc. Am. B7, 664-679. 

Lai, Y.-C., Grebogi, C., Bliimel, R. and Ding, M. (1992 ). Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms, Phys. Rev. A45, 8284-8287. 

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