  Working in the limit in which the localization length scale is large compared
to other relevant length scales we examine three experimental situations with
the continuous spontaneous localization (CSL) model---a well-motivated
alternative to standard quantum theory. These are the two-slit experiment;
scattering from a potential barrier; and the release of two non-interacting
particles simultaneously from a potential trap. In each case we calculate the
diagonal part of the time evolved density matrix giving a probability density
function over final measured states. The case of the two-slit experiment is
already well understood and we reproduce some known conditions for observing
loss of interference. The other examples have not previously been examined in
the context of CSL. For scattering from a potential barrier we find that the
probability of reflection is unchanged by CSL, however, the momentum state is
spread in a characteristic way. For the case of two particles released
simultaneously from a trap we find that it is more likely that the particles
diffuse in the same direction than would happen if the particles behaved
independently. We assess the possibility of observing these effects.
