DISCRETE VARIABLE REPRESENTATION FOR HIGHLY EXCITED-STATES OF HYDROGEN-ATOMS IN MAGNETIC-FIELDS

A discrete variable representation (DVR) appropriate for describing th e highly excited states of hydrogen atoms in laboratory-strength magne tic fields is constructed by using a symmetry-adapted direct product o f one-dimensional DVR's in parabolic coordinates related to generalize d Gauss-Laguerre quadratures. The resulting sparse Hamiltonian matrix is used in an iterative (filter-diagonalization) procedure to obtain e igenvalues and eigenvectors in a given spectral domain. The method is applied to calculate eigenvalues and lifetimes of ''circular'' Rydberg states, as well as oscillator strengths for the excitation of highly excited states.