Charge-excess superconductors and the pseudo-angular-momentum approach to Josephson tunneling

This work addresses the problem of describing the Josephson junction with a pseudo-angular-momentum formalism. An alternate approach to the existing pseudo-angular-momentum theory is begun with a modification of the fundamental operators upon which the method is based. Along with this, a new state vector, which affords a more complete description of the constant-charge-imbalance mode of the junction, is explicitly constructed. Certain inconsistencies which arise within the existing pseudo-angular-momentum theory are discussed in the context of this new formulation. Finally, a method is suggested for employing the charge-imbalance state in problems where the pair difference between the junction sites is allowed to vary