Derive an analytic exact solution for the full Wheeler-DeWitt equation

Derive an explicit analytic solution of the full Wheeler-DeWitt equation for the Starobinsky minisuperspace model beyond the available WKB or asymptotic approximations.

Background

The thesis states that an exact solution of the full Wheeler-DeWitt equation is known to exist in any coordinate frame, but the authors do not establish whether it can be expressed analytically. They therefore use the WKB method and restrict the calculation to an expansion in the inflationary variable, leaving the existence of a closed analytic expression unresolved.

References

We know there is an exact solution for the full equation in any frame, but it is not clear whether there is a way to retrieve it analytically.

— A quantum probabilistic approach to the emergence of an inflationary Starobinsky Universe  (2610.19616 - Kaimakkamis, 14 Oct 2026) in Chapter 5, subsection "Explicit calculation"