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Iso-spectral potential and inflationary quantum cosmology

A. Garcia, W. Guzman, M. Sabido, J. Socorro

gr-qcarXiv:gr-qc/0606123

Abstract

Using the factorization approach of quantum mechanics, we obtain a family of isospectral scalar potentials for power law inflationary cosmology. The construction is based on a scattering Wheeler-DeWitt solution. These iso-spectrals have new features, they give a mechanism to end inflation, as well as the possibility to have new inflationary epochs. The procedure can be extended to other cosmological models.

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