Quantum Creation of Closed Universe with Both Effects of Tunnelling and Well

A new “twice loose shoe” method in the Wheeler-DeWitt equation of the universe wavefunction on the cosmic scale factor a and a scalar field φ is suggested. We analyze both the affections coming from the tunnelling effect of a and the potential well effect of φ, and obtain the initial values a₀ and φ₀ about a primary closed universe which is born with the largest probability in the quantum manner. Our result is able to overcome the “large field difficulty” of the universe quantum creation probability with only tunnelling effect. This new born universe has to suffer a startup of inflation, and then comes into the usual slow rolling inflation. The universe with the largest probability maybe has a “gentle” inflation or an eternal chaotic inflation, this depends on a new parameter q which describes the tunnelling character.