AN EFFECTIVE POTENTIAL FOR HIGH-TEMPERATURE SUPERCONDUCTIVITY IN CUPRATES

An effective potential is proposed as a means to study the mechanism o f pairing of high-T-c superconductivity in cuprates. The relation betw een size and energy of bound states evaluated in a first approximation is comparable to recent calculations obtained through quantum electro dynamics in (2 + 1) dimensions. In a second approximation, we consider that pairing occurs at the minimum of this effective potential, the p roblem being related to the quantum mechanical behavior of a particle described by polar coordinates in a plane. So, according to the presen t model, the topological constraint determined by the CuO2 planes seem s to be most relevant in the understanding of the pairing mechanism.