Abstract

The ionization of hydrogen in strong microwave fields is afundamental problem in atomic physics and nonlinear dynamics.Transitions between dressed states take place simultaneously at severalresonance frequencies when a strong static field is added parallel to alinearly polarized microwave field of comparable strength. We present aquantum-mechanical treatment of this intricate problem whichreproduces its distinctive features very well. A clear picture of the rolesof the fields emerges through an innovative mapping of the perturbationHamiltonian. This mapping alsohas the computational advantage ofcollapsing the infinite sums over off-shell matrix elements into simpleron-shell expressions.

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