Stuff for Thursday, April 14, 2011
PS #5 due up front; PS #4 returned.
Erratum: The final answer to Q3R.1 should be
3
.
9
×
10
17
m
≈
40 lightyears; the rest is correct.
Quiz tomorrow.
Anything
from the 1094 session is fair
game, so please go through the answer key.
1094 Session 3 is returned up front (key is online).
Common error: forgetting that

z

2
=
z
*
z
and not
z
2
.
Be careful not to mix up eigenvalues and the coefficients of
eigenvectors.
An eigenvector does not have to be an
energy
eigenvector.
Consider a magnetic field in the
+
x
direction. In that case,
only

+
x
i
and
 
x
i
are energy eigenvectors; the others
(e.g.,

+
z
i
and
 
y
i
) are eigenvectors for spinprojection
on the
z
axis and
y
axis but do not have definite energy.
Probability:
square
wave function
ψ
(
x
)
first, then add area.
Time dependence is important! (We’ll review it today.)
Quick warmups:

1
+
2
i

2
?
=

1

2
i

2
?
=

i
+
2

2
?
=
Stages of learning quantum mechanics: Anger, denial, acceptance.
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Six Rules that Quantons Live By
1
State vector

ψ
i
describes quanton state. Normalized:
h
ψ

ψ
i
=
1.

ψ
i
=
ψ
1
ψ
2
.
.
.
h
ψ

=
ψ
*
1
ψ
*
2
.
.
.
h
ψ

ψ
i
=
ψ
*
1
ψ
*
2
.
.
.
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 Spring '11
 Furnstahl
 Quantum Physics, Light, Eigenvalue, eigenvector and eigenspace, Fundamental physics concepts, eigenface, energy eigenvectors

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