One-parameter family of closed, radiation-filled Friedmann-Robertson-Walker ``quantum'' universes
H.C. Rosu, J. Socorro
TL;DR
This paper introduces a supersymmetric double Darboux method in quantum cosmology, illustrating it with a family of closed, radiation-filled Friedmann-Robertson-Walker universes derived from the Wheeler-DeWitt equation.
Contribution
It presents a novel application of the supersymmetric double Darboux method to quantum cosmology, generating a one-parameter family of quantum universes.
Findings
Constructed a one-parameter family of quantum universes.
Derived corresponding wavefunctions of the universe.
Demonstrated the method's applicability to the Wheeler-DeWitt equation.
Abstract
Using as an illustrative example the p=1 operator-ordered Wheeler-DeWitt equation for a closed, radiation-filled Friedmann-Robertson-Walker universe, we introduce and discuss the supersymmetric double Darboux method in quantum cosmology. A one-parameter family of ``quantum'' universes and the corresponding ``wavefunctions of the universe" for this case are presented
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