  We present a theory of laterally coupled quantum Hall droplets with electron
numbers (N1,N2) at filling factor $\nu=2$. We show that the edge states of each
droplet are tunnel coupled and form a two-level artificial molecule. By
populating the edge states with one electron each a two electron molecule is
formed. We predict the singlet-triplet transitions of the effective
two-electron molecule as a function of the magnetic field, the number of
electrons, and confining potential using the configuration interaction method
(CI) coupled with the unrestricted Hartree-Fock (URHF) basis. In addition to
the singlet-triplet transitions of a 2 electron molecule involving edge states,
triplet transitions involving transfer of electrons to the center of individual
dots exist for $(N1 \geq 5, N2 \geq 5)$.
