Instead of trying to resolve in general this problem of how macroscopic clas-sical physics behavior emerges in a measurement process, one can adopt thefollowing two principles as providing a phenomenological description of whatwill happen, and these allow one to make precise statistical predictions usingquantum theory

Principle (The Born rule). Given an observable O and two unit-norm states|ψ1〉 and |ψ2〉 that are eigenvectors of O with distinct eigenvalues λ1 and λ2O|ψ1〉 = λ1|ψ1〉, O|ψ2〉 = λ2|ψ2〉the complex linear combination statec1|ψ1〉 + c2|ψ2〉will not have a well-defined value for the observable O. If one attempts tomeasure this observable, one will get either λ1 or λ2, with probabilities|c21||c21| + |c22|and |c22||c21| + |c22|respectively.