ROLE OF SCHRODINGER QUANTUM MODEL IN ENERGY SPACE IN SUPERCONDUCTORS CONDUCTION MECHANISMS

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.