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 
Required Text: David Griffith's "Introduction to Quantum Mechanics." See the author's web site for corrections to the book
   Quantum Mechanics is the study of the way the world really works. The classical laws of motion developed by Newton work well enough on the scale of phenomena that are directly perceivable by our senses and larger, but fail on the smaller scale of atomic and nuclear physics. But beyond that, atomic motions are reflected in the properties of collections of atoms, so this failure has consequences we can see for ourselves every day. Examples include the discrete wavelengths produced in sodium arc lamps and the properties of solid-state materials that have transformed technology. In all of this, the laws of Quantum Mechanics have been spectacularly successful in explaining all observations and despite the fact that Quantum Mechanics involves concepts that violate our intuition, there can be no doubt of its essential validity.  In earlier classes you have seen some of the ideas of Quantum Mechanics presented, but here you begin a more rigorous study of how to apply the methods of Quantum Mechanics to physical problems. 
     The text for the course is Introduction to Quantum Mechanics by David Griffiths. By and large, I find Griffiths to be a good text and very close to the way that I would present the material. I will assign weekly problem sets that will be due at the beginning of class on Thursday. There will not be any labs in this course. 
    There will be two, one-hour, in-class midterms. These will be held on Tuesday October 5th and Tuesday November 9th. There will also be a midterm at the time (6:30PM, Friday, December 17) scheduled by the Registrar for our final exam in this class. This will be a two-hour midterm exam, but with the same weight as the other midterms. Your final grade will be an average of the grades from your homework and midterms with the following weights:   

 

Three midterms
20% (each)
Homework
40%

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.) 

 

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. 

Schedule of topics, readings, exams, and homework (updated 11/13/04)

The remainder of this web page has two major purposes:

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.)
 
 
Date
Topic
Reading Sections
Examples
Homework 
questions
Homework 
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
 
 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
 
 10/5   The finite square well  2.6 2.30  2.29, 2.35
 
 10/7  Midterm I  (1.1-1.6, 2.1-2.3.1)

   2.13, 2.15, 2.17 (a,b), 2.19, 2.22
 10/12  October Break!



 
 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
 10/19  Continuous spectra, Generalized statistical interpretation
3.3.2, 3.4
   3.8 a)3.12
 3.4, 3.7
 10/21  The generalized uncertainty principle, the time-energy uncertainty principle
3.5.1, 3.5.3

 3.13, 3.14, 3.15
 
 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
 10/28  The angular equation (links to visualizations of the spherical harmonics: 1, 2, 3)
4.1.2
   4.3, 4.5

 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
 
 11/9  Midterm II (2.3-3.5.3)    
 
4.8, 4.9, 4.13, 4.45
 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
 
 11/16  Angular momentum II  4.3.1, 4.3.2
   4.20, 4.22,4.24
4.16, 4.19
 11/18  Angular momentum III and spin
 4.3.2, 4.4.1

 4.25
 
 11/23, 11/25
 Thanksgiving Break!  
 
 

 11/30
 no class (professor sick!)
   

 12/2  Electron in a magnetic field and the Stern-Gerlach experiment
 4.4.2
 
 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
 
 12/14  Band structure
 5.3.2
 
 
 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