Abstract
We propose that the energy-dependent spatial modulation of the local
density of states seen by Hoffman et al. Science 297, 1148 (2002)
is due to the scattering interference of quasiparticles. In this
paper we present the general theoretical basis for such an interpretation
and lay out the underlying assumptions. As an example, we perform
an exact T-matrix calculation for the scattering due to a single
impurity. The results of this calculation is used to check the assumptions,
and to demonstrate that quasiparticle scattering interference can
indeed produce patterns similar to those observed by Hoffman et al.
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