  It is hypothesized that, within Bose-Einstein condensates, contaminants will
form a potential that effects the energy state of a condensate. While assuming
a system governed by the Gross-Pitaevskii equation, contaminants are modelled
as boundary conditions for the wave function of the condensate. It is then
found that the energy of the system depends directly upon the distance between
contaminants. Energy is minimized as two particles either come together or move
apart depending on the nature of the condensate. This is due to the presence of
induced standing waves in the condensate between two contaminants, similar to
the attractive effect caused by standing electromagnetic waves in a vacuum, the
Casimir effect. Quantum calculations are also done to determine the expected
strength of the "contaminant in condensate" effect.
