  The successful application of the electron-phonon interaction (EPI) mechanism
in formulating the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity
is among the most outstanding intellectual achievements in theoretical physics
because of the successful application of the theory to the conventional
superconducting materials. Therefore, its unsuccessful application to the
nonconventional superconducting materials has led to the search for new
theories which generalized it, include an interplay with other mechanisms or
are formulated from non - EPI mechanisms. We observe in this current study that
to achieve a generalized theory of superconductivity, there is need to first
developed a quantitative structure model of the Cooper pair formation (CPF) in
line with the formulation of the molecules in nature which has given birth to
hadronic mechanics. This generalized formulation is the iso-superonductivity
model which is based on the observation that the Cooper pair of the standard
BCS model may have a nonlocal-nonhamiltonian structure equivalent to the strong
interaction ("hadronic" mechanics (HM)) structure of the neutral pion, as
compressed positronium atom at short distances (< 1 F \sim 10-13 cm. The
equivalent but approximate description at large distances (> 1 F) is by the
quantum mechanical superexchange interaction. This generalized CPF has been
used to successfully explain the high-Tc superconductivity in the cuprates as
well as to account for the transition temperatures of these materials. It is
also used to account for the high-Tc iron based superconducting materials.
