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Fall 2013
P454 Quantum Mechanics II
Problem Set # 2
SOLUTIONS
1. De Generalization of De Generacy
In class, we argued that the rst-order corrections to the energies of d degenerate states
are
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P454 Quantum Mechanics II
Fall 2013
Problem Set # 9
SOLUTIONS
1. This Time For Sure!
So, here is last weeks leftover. Please do Problem 11.5 on page 407 one of the classic
problems in phase sh
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P454 Quantum Mechanics II
Fall 2013
Problem Set # 1
SOLUTIONS
1. Making Waves, Down on the
In class, we considered a 1-D innite square well, extending over the range 0 < x < a, but
with half
Wissink
P454 Quantum Mechanics II
Fall 2013
Problem Set # 3
SOLUTIONS
1. Fine By Me
The nal expression we obtained for the ne structure of the hydrogen atom had two
contributions, that just happened t
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P454 Quantum Mechanics II
Fall 2013
Problem Set # 4
SOLUTIONS
1. SHO Me the Functional!
Consider the 1-D SHO, described by the familiar Hamiltonian:
H=
1
h
2 d2
+ m 2 x2
2
2m dx
2
We know tha
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Fall 2013
P454 Quantum Mechanics II
Problem Set # 8
SOLUTIONS
1. Expanding, Well, . . . Suddenly!
Continuing our theme from the previous homework set . . . Consider once again an innite
square
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P454 Quantum Mechanics II
Fall 2013
Problem Set # 7
SOLUTIONS
1. Spiraling Downward
In lecture, weve discussed two mechanisms for inducing downward transitions in atoms:
spontaneous vs. stimul
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P454 Quantum Mechanics II
Fall 2013
Problem Set # 6
SOLUTIONS
1. Im SHO Excited!
Consider a 1-D SHO, with the usual Hamiltonian
1
h
2 d2
+ x2
H=
2
2m dx
2
The system is prepared initially (at
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P454 Quantum Mechanics II
Fall 2013
Problem Set # 5
SOLUTIONS
1. Livin on the Ledge
Consider an innite square well potential in which half of the potential is higher than the
other half; more