NIT Vn(x, t)=√ sin(x) e-Ent/h, for and ₁(x, t) = 0 elsewhere. 1) Calculate the probability densities of V₂(x, t) and ₁(x, t). 2) Calculate the probability density of the following superposition state: Vs(x, t) = {V₂(x, t) + V₁(x, t)}. VI VI with n=2,4,6,...

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Where does the cos come from

In(x, t) =
2
ī
sin
e-¡Ent/h,
(7²) e-
for
Vs(x, t) =
=
with n=2, 4, 6, ...
and ₁(x, t) = 0 elsewhere.
1) Calculate the probability densities of ₂(x, t) and ₁(x, t).
2) Calculate the probability density of the following superposition state:
{V₂(x, t) + V₁(x, t)}.
Transcribed Image Text:In(x, t) = 2 ī sin e-¡Ent/h, (7²) e- for Vs(x, t) = = with n=2, 4, 6, ... and ₁(x, t) = 0 elsewhere. 1) Calculate the probability densities of ₂(x, t) and ₁(x, t). 2) Calculate the probability density of the following superposition state: {V₂(x, t) + V₁(x, t)}.
2). 18 vs=2(x+)
(+) (+)=5
}}
+++
4
I from last
=1/(x)+(x)+Re (P)
<その²(水)+()+sm (sin(x)
x cos
(チーニョ)
Transcribed Image Text:2). 18 vs=2(x+) (+) (+)=5 }} +++ 4 I from last =1/(x)+(x)+Re (P) <その²(水)+()+sm (sin(x) x cos (チーニョ)
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