Towards noncommutative supersymmetric quantum cosmology

Abstract

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)=V0e-λφ. We analyze the effects of noncommutativity on the iso-potentials and the possible relationship between noncommutativity and dark energy.

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