A possible theoretical treatment of superconductivity

We use the elliptic functions formalism in order to express mathematically the potential given by particle distributions in the bipolarons model. We thought the quantum potential as the potential describing the distribution, obtaining a nonlinear differential equation, which can be solved by the WKBJ method. Finally, the probability density distribution appears as a function of distance in the 1D case. Under certain conditions, one can notice that superconducting pairs are formed. Also, a characteristic length (minimal dimension of the vortex like-particle) results of the order of the electron Compton wavelength. (author)