In this equation we will consider a finite potential well in which V = −V0 in the interval −L/2 ≤ x ≤ L/2 , and  V = 0 ( where V0 is a postive real number ).  the time-independent Schrödinger equation in the classicaly allowed and classically forbidden regions i have if needed see attached: b) State the conditions that the wavefunction needs to obey at x = ±L/2 , as well as in the limits x → ± ∞.

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In this equation we will consider a finite potential well in which V = −V0 in the interval −L/2 ≤ x ≤ L/2 , and  V = 0 ( where Vis a postive real number ). 

the time-independent Schrödinger equation in the classicaly allowed and classically forbidden regions i have if needed see attached:

b) State the conditions that the wavefunction needs to obey at x = ±L/2 , as well as in the limits x → ± ∞.

For region 3 (x > ² ½)
that in the
The form of Schrödinger equation will be same as region 1.
A
..
2
d'y's
dx²
where
2
⇒ V(x)
2mE
K₁ - - 2 ME
ħ2
0
A
General Solution: ₂(x) = Fe
+
k₁ x
Ge
This term blows
Admissible solution ₁(x) = Fékix
8
for x > ≤
up
as x++o
Transcribed Image Text:For region 3 (x > ² ½) that in the The form of Schrödinger equation will be same as region 1. A .. 2 d'y's dx² where 2 ⇒ V(x) 2mE K₁ - - 2 ME ħ2 0 A General Solution: ₂(x) = Fe + k₁ x Ge This term blows Admissible solution ₁(x) = Fékix 8 for x > ≤ up as x++o
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