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Hydrogen atoms in circularly polarized microwave fields: photoexcitation of Rydberg states

The hydrogen atom in a circularly polarized microwave electric field is treated as a periodically time-dependent quantum system. Quasienergy states of Rydberg manifolds are determined by applying second-order perturbation theory, while the n=2 manifold is treated with inclusion of relativistic effects. The photoabsorption spectrum for transitions from the n=2 manifold to Rydberg manifolds is calculated.