Transition probabilities and some expectation values for the hydrogen atom in intense magnetic fields

We present here a calculation of the binding energies of a hydrogen atom in magnetic fields of the order of 1010-1012 gauss that are presumed to exist on the surfaces of neutron stars. The trial wave functions that we use are extensions of the products of Landau functions and hydrogenic functions. We also employ these improved wave functions to calculate transiton probabilities and oscillator strengths and the ground-state expectation values of r/sup n/ for n=-1, 1, and 2 for various values of the magnetic fields. All the matrix elements involved are estimated variationally using an extremum principle