  We describe \emph{zero range} (contact) interactions, weak and strong. Strong
contact leads to the Efimov effect in Low Energy Nuclear Physics, weak contact
leads to Bose-Einstein condensation and to the presence of Cooper pairs in
superconductivity . In the B-E. case we derive the Gross-Pitayewskii equation.
For a condensate of Cooper pairs we derive a \emph{different} cubic local
focusing P.D.E. We prove that both strong and weak contact hamiltonians are
limits, in strong resolvent sense, of hamiltonians with potentials of very
short range. A part form standard tools in Q.M. we use Gamma convergence
Contact interactions and Gamma convergence have a role also in Solid State
Physics for particles (conduction electrons) which satisfy the Pauli equation
and move in the neighborhood of a lattice with $Y$-shaped vertices. The
resulting \emph{Fermi sea} is the filling of an Efimov sequence of bound states
with $ \frac{1}{\log n}$ rate of decrease of the negative eigenvalues. Contact
interactions describe also a \emph{contact} (Nelson) Polaron (massive particle
in (contact) interaction with a mass zero field), both relativistic and
non-relativistic. We shall describe elsewhere these structures.
