  Correlation of interacting particles is studied in their dynamics and
localization in ideal and disordered lattice systems with the help of numerical
tools. Both 1D and 2D systems are considered. In 1D lattices with long-range
hopping, differences between dynamics of attractively and repulsively
interacting particles are noted. For calculations of 2D systems, a recursion
based numerical algorithm for two-particle Greens functions is implemented
which provides accurate results. Using this algorithm, spectral properties of
2D Hubbard and Hofstadter models is computed, along with localization
parameters of 2D disordered systems.
