  We study the motion of higher dimensional fermions in a non-singular 6D brane
background with an increasing warp factor. This background acts as a potential
well trapping fermions and fields of other spins near a 3+1 dimensional brane.
By adjusting the shape of this potential well it is possible to obtain three
normalizable zero mass modes giving a possible higher dimensional solution to
the fermion generation puzzle. The three different zero mass modes correspond
to the different angular momentum eigenvalues for rotations around the brane.
This bulk angular momentum acts as the family or generation number. The three
normalizable zero modes have different profiles with respect to the bulk, thus
by coupling the higher dimensional fermion field to a higher dimensional scalar
field it is possible to generate both a realistic mass hierarchy and realistic
mixings between the different families.
