The one-step model of valence-band photoemission and inverse photoemis
sion from single-crystal surfaces is reformulated for generalized (non
local, complex and energy-dependent) potentials. Thereby, it becomes p
ossible to account for self-energy corrections taken from many-body el
ectronic-structure calculations. The original formulation due to Pendr
y and coworkers employs the KKR multiple-scattering theory for the cal
culation of the initial state. This prevents a straightforward general
ization of the one-step model to nonlocal potentials. We therefore con
sider the Dyson equation which is set up within a muffin-tin-orbital r
epresentation as an alternative to obtain the initial-state Green func
tion. This approach requires a revision of the transition-matrix eleme
nts which is carried out in detail. The final state is considered as a
time-reversed LEED state as usual. The proposed generalization of the
one-step model allows to distinguish between the bare photocurrent re
flecting the (quasi-particle) band structure and the secondary effects
due to the (dipole) selection rules and due to the wave-vector and en
ergy dependence of the transition-matrix elements.