  p-Adic and adelic generalization of ordinary quantum cosmology is considered.
In [1], we have calculated p-adic wave functions for some minisuperspace
cosmological models according to the "no-boundary" Hartle-Hawking proposal. In
this article, applying p-adic and adelic quantum mechanics, we show existence
of the corresponding vacuum eigenstates. Adelic wave function contains some
information on discrete structure of space-time at the Planck scale.
