2. A normalized wavefunction at time =0 is non-zero in a finite interval of the x-axis Y(x,0) (22) exp (2ni x/) Y(x,0) = 0 = -λ2 X= 2TTL where is a real parameter. (a) Determine the momentum space wavefunction (p,0) at t=0 in terms of sin(pi/h). (b) Sketch D2 and describe what happens to the width and height of features as λ→ ∞o.
2. A normalized wavefunction at time =0 is non-zero in a finite interval of the x-axis Y(x,0) (22) exp (2ni x/) Y(x,0) = 0 = -λ2 X= 2TTL where is a real parameter. (a) Determine the momentum space wavefunction (p,0) at t=0 in terms of sin(pi/h). (b) Sketch D2 and describe what happens to the width and height of features as λ→ ∞o.
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![2. A normalized wavefunction at time t=0 is non-zero in a finite interval of the x-axis
Y(x,0) = (22) exp (2лi x/λ)
-2<x<2
Y(x,0) = 0
*<-1, x>1 X=
27Th
P
where is a real parameter.
(a) Determine the momentum space wavefunction (p,0) at t=0 in terms of sin(p/h).
(b) Sketch ² and describe what happens to the width and height of features as λ → ∞o.
[4 points]
[3 points]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62a79166-ba2c-43d7-9fa1-94c5c5be2063%2F86dc412f-4847-48e8-8b7d-716bfc5f43ec%2Fmc27h4g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. A normalized wavefunction at time t=0 is non-zero in a finite interval of the x-axis
Y(x,0) = (22) exp (2лi x/λ)
-2<x<2
Y(x,0) = 0
*<-1, x>1 X=
27Th
P
where is a real parameter.
(a) Determine the momentum space wavefunction (p,0) at t=0 in terms of sin(p/h).
(b) Sketch ² and describe what happens to the width and height of features as λ → ∞o.
[4 points]
[3 points]
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