Abstract:
The physics of conduction by hopping in superconductivity is not
yet well established. This work is concerned with trying to throw light on
conduction by hopping in superconductivity. It uses Schrödinger equation
for energy wave function which time and spatial dependent or spatial
dependent only. It is found that the wave function is highly localized in
most cases which means that electrons conduct through hopping to
adjacent atoms only. One solution shows the possibility to electron
travelling which agrees with Cooper model. The critical temperature is
shown to depend on binding energy. Plasma equation is also used to find
new Schrödinger temperature dependent equation. The solution of these
equations are based on free particle solution beside quantum expression
for resistance. This expression for resistance splits into real and
imaginary or positive and negative one. The real positive
superconductivity resistance, which represents super resistance vanishes
beyond a certain critical temperature, which requires large binding energy
and hopping mechanism. This work can be extended to use a new
quantum model applications in nano particles, thermodynamics properties
and the super fluidity behavior.
