Quantum Creation of Closed Universe with Both Effects ofTunnelling 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 theaffections coming from the tunnelling effect of a and the potential welleffect of φ, and obtain the initial values a₀ and φ₀ about a primary closed universe which is born with the largest probabilityin the quantum manner. Our result is able to overcome the “large fielddifficulty” of the universe quantum creation probability with onlytunnelling effect. This new born universe has to suffer a startup ofinflation, and then comes into the usual slow rolling inflation. Theuniverse with the largest probability maybe has a “gentle” inflation or aneternal chaotic inflation, this depends on a new parameter q whichdescribes the tunnelling character.