Semianalytic theory of Rydberg electron diamagnetism. II

The calculation of diamagnetic Rydberg eigenfunctions described in paper I [Phys. Rev. A 45, 4776 (1992)] has been extended to radial distances of 1600 a.u. for a 5-T field, thus affording a far more detailed view of the nonperturbative evolution of each channel. Particularly notable is the emergence of an approximate block diagonalization of the reaction matrix ${\mathrm{K}}_{\mathrm{ll}\prime }$(r), which illustrates the sequential isolation of eigenvectors localized along and across the magnetic field (Landau and quasi-Landau states). This evolution is viewed as a prototype for many-body processes.