  We present a study for the dispersion relation and character of the
excitations of a single and two component Bose Einstein Condensate (BEC). We
study the single component dispersion for a finite BEC system and look at
examples of quasiparticles to understand and characterize the dispersion
relation. Next we present the dispersion relation for a two component BEC in
both the miscible and immiscible parameter regimes. Then we present examples of
the quasiparticles for both regimes.
