Scalar potentials out of canonical quantum cosmology

Abstract

Using canonical quantization of a flat FRW cosmological model containing a real scalar field $\varphi$ endowed with a scalar potential $V(\varphi )$, we are able to obtain exact and semiclassical solutions of the so called Wheeler-DeWitt equation for a particular family of scalar potentials. Some features of the solutions and their classical limit are discussed.

4 pages, 2 eps figures