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

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• Classical and quantum exact solutions for a FRW multi-scalar field cosmology with an exponential potential driven inflation
• Time-dependent toroidal compactification proposals and the Bianchi type II model: classical and quantum solutions
• Exact Solutions and Constraints on the Dark Energy Model in FRW Universe
• Noncommutative Quantum Cosmology for the FLRW model in Unimodular Gravity