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Phys320 – Spring 2004 (Baski)
L
n = 5
0.2L
P(x)
0.4L
0.6L
0.8L
E
Y
(x)
x
Region 1
Region 3
Region 2
Vo
Quiz #4:
Schrödinger Equation
March 24, 2004
Name: ___SOLUTIONS
_____
Complete both of the following problems.
Show all of your work for full credit.
2
(
)
si
n
for infinite well
n
nx
x
LL
p
Ψ=
Problem 1:
Infinite Square Well Probabilities
An electron is in the n = 5 excited state of a 1D infinite square
well (width L). Draw the probability distribution of the electron.
Calculate the probability of finding the electron between
x = 0.49L and 0.51L.
Note
: Because
∆
x is so small, it is not necessary to use
integration. Use P(x)
∆
x =
ψ
2
(x)
∆
x and substitute
ψ
n=5
(x) from
the general wave function formula for an infinite square well.
( 29
22
55
5
2
(
)
(
)
si
(using
for infinite well)
5(
/2)
25
si
n
(0.0
2
)
0.0
4 si
n
0.04 o
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This homework help was uploaded on 04/22/2008 for the course PHYS 320 taught by Professor Baski during the Spring '04 term at VCU.
 Spring '04
 Baski
 Physics, Work

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