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In this study, we show that the interaction energy plays an important role onthe quantum decoherence: If we pay attention to the oscillation phase factor,$e^{-iE_{int}t/\hbar},$ we see that the time average of the macro-system'sdensity matrix becomes nearly diagonal, where the states giving extrema ofinteraction energy are privileged to describe the quantum decoherence. Thisapproach is compatible with the von Neumann's old work, which has been recentlystudied with renewed interest: The thermal mixture of states can be reached bythe time average of a density of matrix due to the oscillation phase factor,$e^{-i(E_i-E_j)t/\hbar}.$ One of the direct results is the localization ofmacroscopic objects.

Mixture of Quantum States: Thermal and Interaction Inducing Decoherence