Families of exact solutions of a two-dimensional gravity model minimally coupled to electrodynamics

Three families of exact solutions for two-dimensional gravity minimally cou pled to electrodynamics are obtained in the context of R=T theory. It is sh own, by supersymmetric formalism of quantum mechanics, that the quantum dyn amics of a neutral bosonic particle on static backgrounds with both varying curvature and electric field is exactly solvable. (C) 2001 American Instit ute of Physics.