Towards noncommutative supersymmetric quantum cosmology
W. Guzm\'an, M. Sabido, J. Socorro
TL;DR
This paper develops a family of iso-spectral scalar potentials in noncommutative quantum cosmology using a factorization approach, exploring effects of noncommutativity and its potential link to dark energy.
Contribution
It introduces a novel method to generate iso-spectral potentials in noncommutative quantum cosmology based on scattering solutions.
Findings
Noncommutativity influences the shape of iso-potentials.
Potential connection between noncommutativity and dark energy.
New family of scalar potentials derived from Wheeler-DeWitt solutions.
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 . We analyze the effects of noncommutativity on the iso-potentials and the possible relationship between noncommutativity and dark energy.
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