Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity

Understand

We apply the Noether Symmetry Approach to point-like teleparallel Lagrangians in view to derive minisuperspaces suitable for Quantum Cosmology.

• Adopting the Arnowitt-Deser-Misner formalism, we find out related Wave Functions of the Universe.
• Specifically, by means of appropriate changes of variables suggested by the existence of Noether symmetries, it is possible to obtain the cosmological Hamiltonians whose solutions are classical trajectories interpretable as observable universes.