Abstract

SOCORRO, J.  and  OBREGON, O.. Quantum cosmology for inflationary scenary. Rev. mex. fis. [online]. 2002, vol.48, n.3, pp.205-209. ISSN 0035-001X.

We study quantum and super quantum cosmology for a Friedman-Robertson Walker (FRW) flat universe in the presence of an inflation exponential potential with the corresponding kinetic term for the scalar field. We exhibit exact solutions for the corresponding Wheeler-DeWitt (WDW) equation and its square root. In both cases, solutions, as is known for the Bianchi models, of the form e^iΦ exist, where Φ is the Hamilton-Jacobi function. For a particular factor ordering of the standard Wheeler-DeWitt equation we show a "wave packet" in which for large χ (with the radius of expansion of the universe a ~ e^-x), φ the scalar field and χ "compete" modulating the behaviour of the "wave packet".

Keywords : Inflation; quantum exact solutions; supersymmetric quantum cosmology; factor ordering; Einstein-Hamilton-Jacobi equation.