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Chapter 41
499
P41.21
(a)
The probability is
Pd
x
L
x
L
dx
L
x
L
dx
LL
L
==
F
H
G
I
K
J
=−
F
H
G
I
K
J
zz
z
ψ
ππ
2
0
3
2
0
3
0
3
22
1
2
1
2
2
sin
cos
P
x
L
x
L
L
F
H
G
I
K
J
F
H
G
I
K
J
F
H
G
I
K
J
=
1
2
2
1
3
1
2
2
3
1
3
3
4
0196
0
3
π
sin
sin
.
.
(b)
The probability density is symmetric about
x
L
=
2
.
Thus, the probability of finding the particle between
x
L
=
2
3
and
xL
=
is the same 0.196. Therefore, the
probability of finding it in the range
L
x
L
3
2
3
≤≤
is
P
=
100 20196
0609
..
.
a
f
.
FIG. P41.21(b)
(c)
Classically, the electron moves back and forth with constant speed between the walls, and
the probability of finding the electron is the same for all points between the walls. Thus, the
classical probability of finding the electron in any range equal to onethird of the available
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics

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