  We calculate the electronic relaxation of a single electron in a quantum dot
with two electronic orbital states, and with the electronic coupling to the
longitudinal optical modes of the lattice vibrations included in the multiple
scattering approximation to the electronic self-energy. This model shows that
there is an incomplete electronic relaxation from the excited state to the
ground state and also the incomplete increase of the population of the excited
state after resonantly exciting the ground state. These theoretical results are
compared with very similar recent findings reported in experimental papers.
