where and k²-k² = 2m2² (V₂-E) k² = 2 m E I ħ² Show that the solutions for region II can also be written as 1/₁₂ (z) = Ccas (k₂₁ z) + D sin (k₁₂²) for Z≤ 1W/ Ⓒ Since the potential well Vez) is symmetrical, the possible eigen functions Yn Yrt will be symmetrical, so Yn will be either even or odd. a) write down the even solution for region. I b) write down the odd solution for region II 65 In problem 2, explain why A=G=0,

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where
and
kyk₂
I
2
k
2m E
2
ħ²
2m
ħ²
(V-E)
3 Show that the solutions for region II
can also be written as
2/₁₂ (²) = Ccas (₁₂²) + D sin (k₂²)
for Z≤ 1W/
4 Since the potential well Vez) is symmetrical,
the possible eigen functions In You will
be symmetrical, so Yn will be either
even or odd.
a) write down the even solution for
region. II
b) write down the odd solution
region
for
on II
In problem 2, explain why A=G=0₁
Transcribed Image Text:where and kyk₂ I 2 k 2m E 2 ħ² 2m ħ² (V-E) 3 Show that the solutions for region II can also be written as 2/₁₂ (²) = Ccas (₁₂²) + D sin (k₂²) for Z≤ 1W/ 4 Since the potential well Vez) is symmetrical, the possible eigen functions In You will be symmetrical, so Yn will be either even or odd. a) write down the even solution for region. II b) write down the odd solution region for on II In problem 2, explain why A=G=0₁
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