Suppose a free particle, which is initially localized in the range -a < x < a, is released at time t = 0: if – a < x < a, 0, Y(x,0) = %3D otherwise Where A and a are positive real constants. Determine A, by normalizing wave function. Determine wave functions in wave vector space?

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3. Suppose a free particle, which is initially localized in the range -a < x<a, is released at
time t = 0:
») = {* c
(A,
if — а <x<а,
0,
Ψ(χ, 0)
otherwise
Where A and a are positive real constants.
a) Determine A, by normalizing wave function.
b) Determine wave functions in wave vector space?
Transcribed Image Text:3. Suppose a free particle, which is initially localized in the range -a < x<a, is released at time t = 0: ») = {* c (A, if — а <x<а, 0, Ψ(χ, 0) otherwise Where A and a are positive real constants. a) Determine A, by normalizing wave function. b) Determine wave functions in wave vector space?
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