Supersymmetric strictly isospectral FRW models for zero factor ordering
H.C. Rosu, J. Socorro
TL;DR
This paper employs supersymmetric quantum mechanics to generate isospectral cosmological models for the FRW universe, revealing new potential and wavefunction families with detailed visualizations.
Contribution
It introduces a novel application of supersymmetric techniques to the Wheeler-DeWitt equation in cosmology, producing isospectral models with potential implications for quantum cosmology.
Findings
Generation of one-parameter families of isospectral potentials
Construction of corresponding wavefunctions of the universe
Visualizations illustrating the models' properties
Abstract
We apply the strictly isospectral technique of standard supersymmetric quantum mechanics to the Q=0 factor ordered Wheeler-DeWitt equation for the Friedmann-Robertson-Walker (FRW) minisuperspace model. The resulting strictly isospectral one-parameter families of both FRW cosmological potentials and "wavefunctions of the universe" are exhibited with relevant plots
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories