Evaluate the equation of continuity of plane wave function Exp i (kx-wt).

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Evaluate the equation of continuity of plane wave function Exp i (kx-wt).

Expert Solution
Step 1

Given,

Plane wave function,ψ=eikx-wt

 

Step 2

The mathematical expression for continuity equation is given below:

.J=-ρtWhere, J=Probability current density=h2imψ*ψ-ψψ*ρ=probability density=ψ*ψ

Step 3

Probability density can be calculated as below:

ρ=ψ*ψ=e-ikx-wteikx-wt=1

Step 4

ρt=t1=0

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