1.

Is The Complex Probability Anplitude ψ Just A Neat Trick?

Answer»

No, it’s not. It or something like it is necessary. As we said, to represent a free particle of fixed ENERGY (or k), you need a |ψ|2 that is UNIFORM, that is the PROBABILITY of finding the particle is the same everywhere. But at the same time that function ψ MUST be able to produce wave-like interference effects. The only way anyone KNOWS how to do this is to use the complex probability amplitude function.

No, it’s not. It or something like it is necessary. As we said, to represent a free particle of fixed energy (or k), you need a |ψ|2 that is uniform, that is the probability of finding the particle is the same everywhere. But at the same time that function ψ must be able to produce wave-like interference effects. The only way anyone knows how to do this is to use the complex probability amplitude function.



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