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| Instructor: Timothy S. Sullivan Office: MAP 206 Email: Sullivan@Kenyon.edu Phone: 427-5830 Class Times: TTh 9:40 - 11:00 AM Office Hours: MWF 11:10AM-12N, Th 4:10-6PM |
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| Required Text: David Griffith's "Introduction to Quantum Mechanics." See the author's web site for corrections to the book . | ||||
In addition, there is an opportunity for extra credit. There will be a Physics Department colloquium on most Fridays this semester. I will add a bonus for attending the talks in the amount of (grade on 4 pt scale w/o bonus)*(fraction of talks attended)*(0.1). To give you a sense of this, if you attend 100% of the talks and have a 3.0 average grade, you would get a bonus of 0.3 raising your grade from 3.0 to 3.3. This would raise your final grade from a B to a B+. (My one exception to this is that I will not raise an A to an A+ by this route.)
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| I absolutely encourage you to work with others while doing homework and studying for tests. There is no curve in this class, so it never hurts you to help others, and teaching others will deepen your own understanding. However, it is important to the learning process that what you turn in represents your own understanding and should never be just a copy of others work. To test your understanding, try putting away all notes from a joint problem solving session and do the problems over by yourself, reminding yourself of the reasoning behind each step. |
The first is a calendar-like function to help you keep track of reading assignments, homework questions, and exam dates. This aspect also can help you keep a sense of perspective about where we have been and where we are going in the class. The entire semester is scheduled, but some rescheduling may be necessary, so be alert for changes. Check the update date in the heading above to see if changes have been made since you last viewed the web page.
The second major purpose is to provide you with immediate feedback on your assignments. As each assignment becomes due, the problem number will turn into a link to a completely worked out, handwritten, solution. While it is still fresh in your mind, you should compare your solution to the one given on the web page. Also, I have tried in my solutions to model good scientific writing. Note in particular that a sequence of equations is not enough to communicate clearly. You need words to explain the strategy of your solution, the relationship between concepts, and why the equations you use are applicable to the problem you are solving. I think you will find that writing out complete solutions will help you clarify the concepts in your own mind. (Note that this immediate feedback feature will keep me from accepting any late work, unless I am late too!) Solutions are also given for seleced other questions, since Griffiths is light on examples. You can use these while reviewing your class notes or supplementing your notes when we don't completely finish a problem during class.
Note that you will need the free Adobe Acrobat Reader software to
read
the links below. Except for the exams and their solutions, you will
also
need an account on Kenyon's network to view the problem
solutions.
(If you are an instructor at another college and would find the
solutions
useful, please
contact me . If
you are a student at another college, please contact your instructor.)
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questions |
Due |
| 8/31 | PHYS 360 Administrivia. What do we already know
about quantum mechanics? The wavefunction |
1.1 - 1.2 |
none | none | |
| 9/2 | Probability | 1.3 | 1.11 |
1.12, 1.2 , 1.3 | |
| 9/7 | Normalization, currents, and momentum |
1.4, 1.5 |
1.4 |
1.5, 1.14, 1.15 |
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| 9/9 | Operators and the uncertainty principle | 1.5, 1.6 | 1.7 |
1.8, 1.9, 1.18 |
1.12, 1.2, 1.3 |
| 9/14 | Stationary states, Infinite square well I |
2.1, 2.2 |
2.1, 2.5 (a-c) | 2.2, 2.36, 2.4, 2.5 (d-f) | 1.5, 1.14, 1.15 |
| 9/16 | Infinite square well II | 2.2 | Ex 2.2 |
2.6, 2.7, 2.8 | |
| 9/21 | Harmonic oscillator I (algebraic method) | 2.3.1 | 2.12, 2.13 | 2.14 | 1.8, 1.9, 1.18, 2.2, 2.36, 2.4, 2.5 (d-f) |
| 9/23 | Harmonic oscillator II (analytic method) | 2.3.2 |
2.16 | 2.13, 2.15, 2.17 (a,b) | |
| 9/28 | The free particle (animations) |
2.4 | 2.21 | 2.19, 2.22 |
2.6, 2.7, 2.8, 2.14 |
| 9/30 | The delta function potential | 2.5 | 2.23, 2.24 a) |
2.26, 2.27 |
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| 10/5 | The finite square well | 2.6 | 2.30 | 2.29, 2.35 |
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| 10/7 | Midterm I (1.1-1.6, 2.1-2.3.1) | |
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2.13, 2.15, 2.17 (a,b), 2.19, 2.22 |
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| 10/12 | October Break! |
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| 10/14 | Vectors, inner products, Hilbert space, functions as vectors, observables as hermitian operators | 3.1, 3.2, 3.3.1 |
3.4,
3.7 |
2.26, 2.27, 2.29,
2.35 |
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| 10/19 | Continuous spectra, Generalized statistical
interpretation |
3.3.2, 3.4 |
3.8 a),
3.12 |
3.4,
3.7 |
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| 10/21 | The generalized uncertainty principle, the time-energy
uncertainty principle |
3.5.1, 3.5.3 |
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3.13,
3.14, 3.15 |
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| 10/26 | Quantum Mechanics in finite dimensional vector
spaces, QM in 3D |
3.6, 4.1.1 |
3.37,
4.2 |
3.8 a),
3.12, 3.13, 3.14,
3.15 |
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| 10/28 | The angular equation (links to visualizations of the
spherical harmonics: 1, 2, 3) |
4.1.2 |
4.3,
4.5 |
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| 11/2 | The radial equation | 4.1.3 | 4.7 a) |
4.8, 4.9 |
3.37,
4.2, 4.3, 4.5 |
| 11/4 | The hydrogen atom I |
4.2.1 |
4.11 |
4.13,
4.45 |
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| 11/9 | Midterm II (2.3-3.5.3) | |
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4.8, 4.9, 4.13,
4.45 |
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| 11/11 | The hydrogen atom II, angular momentum I (link to cool 3D orbital
visualizations) |
4.2.2, 4.3.1 |
4.16, 4.19 |
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| 11/16 | Angular momentum II | 4.3.1, 4.3.2 |
4.20,
4.22,4.24 |
4.16, 4.19 |
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| 11/18 | Angular momentum III and spin |
4.3.2, 4.4.1 |
4.25 |
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| 11/23, 11/25 |
Thanksgiving Break! | |
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| 11/30 |
no class (professor sick!) |
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| 12/2 | Electron in a magnetic field and the Stern-Gerlach
experiment |
4.4.2 |
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4.27 (a-b), 4.29, 4.31 | 4.20, 4.22, 4.24, 4.25 |
| 12/7 | Addition of angular momenta, Two particle systems | 4.4.3, 5.1.1 | |
4.35, 4.36, 5.2, 5.3 |
4.27 (a-b), 4.29, 4.31 |
| 12/9 | Fermions, bosons, and exchange forces | 5.1.2 | |
5.4,
5.5 |
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| 12/14 | Band structure |
5.3.2 |
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4.35, 4.36, 5.2, 5.3, 5.4, 5.5 |
| 12/17 | Final Midterm - two hour, 7:30-9:30PM | 3.6-5.1.2 |