  We consider non-relativistic systems in quantum mechanics interacting through
the Coulomb potential, and discuss the existence of bound states which are
stable against spontaneous dissociation into smaller atoms or ions. We review
the studies that have been made of specific mass configurations and also the
properties of the domain of stability in the space of masses or inverse masses.
These rigorous results are supplemented by numerical investigations using
accurate variational methods. A section is devoted to systems of three
arbitrary charges and another to molecules in a world with two
space-dimensions.
