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For the wave function ψ(x) defined by ψ(x)= A(a-x),x<a ψ(x)=0, x>=a (a) Sketch ψ(x) and calculate...

For the wave function ψ(x) defined by

ψ(x)= A(a-x),x<a

ψ(x)=0, x>=a

(a) Sketch ψ(x) and calculate the normalization constant A. (

b) Using Zettili’s conventions, find its Fourier transform φ(k) and sketch it.

(c) Using the ψ(x) and φ(k), make reasonable estimates for ∆x and ∆k. Using p = ħk, check whether your results are compatible with the uncertainty principle.

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