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 → ± ∞.
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 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 → ± ∞.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b765a29-fcb0-4895-9cef-5ef60c256f5b%2Fd82f71a1-207b-4225-858c-683e39e2c747%2Fuxvng3vh_processed.png&w=3840&q=75)
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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