  A General Theory of Superconductivity with points of view differing from
those of the BCS Theory is presented in two parts. In the first part, a general
equation for the superconductivity is obtained; based on the stable pairing of
two electrons bound by a phonon for any type of superconductor material. This
equation comes from a self consistent field calculation with a screening which
is temperature dependent; showing that the total energy of the electron pair is
constant and the local energy of the paired electrons is equal to that of the
phonon in the range 0 K to critical temperature. A specific condition for the
existence of the superconducting state is established allowing the prediction
of the critical temperature. In the second part, the general equation is
applied to low critical temperature superconductors where new results, in good
agreement with experimental data, are calculated.
