AbstractThe physical rationale supporting the introduction of many‐body differential geometric methods for self‐consistently calculating the properties of quantum systems is given. The methods are then used to determine new self‐consistent, self‐gauge field quantum dynamical manifold equations describing a high temperature superconductor. This includes itinerant electron screening of Coulomb repulsion and local electron, exciton‐mediated attraction. The article includes new quantum geometric equations for the paired electrons or holes (potential cooperons) of a superconductor. It is shown how other mechanisms can easily be incorporated into the calculation of the quasi‐particle geometry of the quantum dynamical manifold. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002