  Motivated by our earlier argument that the apparent large cosmological
constant from quantum fluctuations is actually an artifact of not using a full
quantum mechanical superposition to determine the ground state in which the
universe lives in the de Sitter space at the beginning of inflation, we
calculate the tunneling probability for the two-well potential for a scalar
field in de Sitter space. We include ocupling of the potential to gravity, and
the effective potential from quantum corrections. The results show the
eigenstates are the sum and differences of the wavefunctions for the seperate
wells, i.e. a full superposition, and the energy levels are split, with
tunneling between them determined by the Hawking-Moss instanton and not
supressed.
