Spectra of atomic Rydberg states in strong magnetic fields

Transition frequencies and intensities for exited states of atomic hydrogen in a strong magnetic field are calculated by Fourier transformation of dipole moments computed using classical trajectories. We consider states with n = 30 and L_z = 1 for fields of up to 7 T. Spectra for states labeled as librators and rotators are found to be qualitatively different, especially for the spectral component perpendicular to the field. In addition to the zero-field Kepler line, a new intra-manifold transition is located at low frequency. The frequencies and intensities are found to be sensitive functions of the field strength, and of the particular state of the Coulomb manifold involved.