On Noether approach in the cosmological model with scalar and gauge
  fields: symmetries and the selection rule
  In this paper, based on the works of Capozziello et al., we have studied the
Noether symmetry approach in the cosmological model with scalar and gauge
fields proposed recently by Soda et al. The correct Noether symmetries and
related Lie algebra are given according to the minisuperspace quantum
cosmological model. The Wheeler-De Witt (WDW) equation is presented after
quantization and the classical trajectories are then obtained in the
semi-classical limit. The oscillating features of the wave function in the
cosmic evolution recover the so-called Hartle criterion, and the selection rule
in minisuperspace quantum cosmology is strengthened. Then we have realized now
the proposition that Noether symmetries select classical universes.
