arXiv subjects
Publications and source records attributed to W. Guzmán.
Using the factorization approach of quantum mechanics, we obtain a family of iso-spectral scalar potentials for noncommutative quantum cosmology. The family we build is based on a scattering Wheeler-DeWitt solution for the potential $V(ϕ)=V_0e^{-λϕ}$. We analyze the effects of noncommutativity on the iso-potentials and the possible relationship between noncommutativity and dark energy.
In this paper we present noncommutative version of scalar field cosmology. We find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation. Interestingly the noncommutative contributions are only present up to second order in the noncommutitive parameter. Finally we conclude that if we want a noncommutative minisuperspace with a constant noncommutative parameter as viable phenomenological model, the noncommuative parameter is very small.
In this work we extend and apply a previous proposal to study noncommutative cosmology to the FRW cosmological background coupled to a scalar field, this is done in classical and quantum scenarios. In both cases noncommutativity is introduced in the gravitational field as well as in the scalar field through a deformation of minisuperspace and are able to find exact solutions. Finally, the effects of noncommutativity on the classical evolution are analyzed.