- #1
zhouhao
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Homework Statement
I post here to check if I am in the right way to understand this point in the book.
The wave function of free particle is ##Ae^{\frac{i}{\hbar}(px-Et)}##.This could be regarded as ##{\phi}(x,t)=Ae^{\frac{i}{\hbar}S(x,t)}##.
##S(x,t)## is the free particle's least action with energy E from space-time ##(0,0)## to ##(x,t)## and this is the phase for a trajectory of De Brogile's article "the theory of quanta".
Why ##|{\phi}(x,t)|^2## is the probability of particle's existence?
What's the condition for interference cancelling or collapse?
Homework Equations
##{\phi}(x,t)=Ae^{\frac{i}{\hbar}S(x,t)}##
##S(x,t)=px-Et##
The Attempt at a Solution
I try to understand this from two split electron diffraction experiment.At the two split,electron own the same phase.Electrons from two split get to somewhere of acceptor board would own different phase,the two wave functions(probabilty) added up and the interference come up.
For one single split diffraction,Huygens-Fresnel principle could explain.
I do not know what is the condition for collapse.