Physics 211 Course Syllabus
Fall Semester, 2000

Professor Henry Greenside

hsg@phy.duke.edu     660-2548     Physics 047

[ Welcome | Prerequisites | Time and Place | Office Hours | Computer Accounts ]

[ Grading | References ]

Welcome

Welcome to Physics 211 which is the first half of Duke's year-long undergraduate introduction to nonrelativistic quantum mechanics. Physics 211 covers the experimental and theoretical foundations of quantum mechanics while Physics 212 (taught in the spring semester) continues to provide a foundation and then applies this foundation to various problems in physics and chemistry.

Topics covered in 211 will include: experiments that led to the founding of quantum mechanics; the wave-particle duality of particles and photons; the single-particle Schrodinger equation and the physical meaning of the wave function; solutions and applications of the single-particle one-dimensional Schrodinger equation; the formulation of quantum mechanics in terms of state vectors, operators, and Hilbert space; the generalization of the single-particle Schrodinger equation to many-particle systems; and the generalization of the Schrodinger equation to two- and three-space dimensions.

Prerequisites

Students should have a solid working knowledge of the material in the following two courses: In terms of mathematics, you need to be able to use the concepts of a linear vector space, linear independence of a set of vectors, a basis of vectors, inner products and inner-product norms, orthogonality of vectors, eigenvalues and eigenvectors of a matrix, the theorem that symmetric real matrices have real eigenvalues and orthogonal eigenvectors, Fourier sums, and Fourier integrals.

In terms of physics, you need to know the simple mathematical description of a wave, the real and complex forms of a wave, what is a wave packet, the dispersion relation of a wave, the phase velocity of a wave, and the group velocity of a superposition of waves.

Please talk with me at the beginning of the semester if you have any concerns about whether your background is adequate for Physics 211 since this course is traditionally found by students to be one of the harder science courses on campus. The stronger your math and science background, the more you will enjoy the course and understand the material.

Time and Place

Classes will meet Tuesday and Thursday mornings, from 9:10 am to 10:25 am, in Physics 157.

There will also be an optional discussion and problem-solving meeting each week. The time and place for this extra weekly meeting will be announced in class but presently and tentatively is scheduled for Friday afternoons from 1-2:30 pm in Physics 234 (this is the Physics Faculty Lounge). Students have found these meetings useful for strengthening their math background, getting help on homework assignments, preparing for tests, discussing the lectures in greater depth, and talking about topics beyond the lectures.

There will also be a few supplementary class meetings scattered throughout the semester, e.g., to look at a video of Feynman introducing quantum mechanics and to visit some laboratories carrying out research involving quantum mechanics. The times and places for these extra meetings will be sent by e-mail and posted on the course web page.

Office Hours

The Teaching Assistant (TA) and I have no fixed office hours. However, we will make our best effort to meet with you if you have any questions at all about the course (or more generally about physics or about Duke of if you would just like to chat). If you are in the Physics building, please drop by our offices (Physics 047 for myself) and say hi.

To set up a meeting, you can send e-mail or give a call using the information at the top of this syllabus.

Please also feel free to send me e-mail at any time. I am often logged on in the evenings and on the weekends and will be glad to discuss the course or homework with you.

Computer Accounts

All students will need to have active computer accounts at Duke that will allow them to read and to send e-mail and to access the World Wide Web through some browser. Announcements related to the course will be sent by e-mail and also posted on the course web page http://www.phy.duke.edu/Courses/211 via the link Announcements .

Grading

The final grade for the course will be based on class participation and on your performance on weekly homework, occasional quizzes, and on the examinations. The contributions to your final grade are as follows:

Activity Percent of Total Grade
Class participation 10%
Homeworks 25%
Quizzes 10%
First midterm exam (tentatively Tuesday, Oct 5) 15%
Second midterm exam (tentatively Tuesday, Nov 7) 15%
Final exam 25%

Your active class participation throughout the semester is extremely important since it is difficult to learn physics by passively listening to a lecture. I expect all members of the class to read and to think about the assigned material before lecture and to come prepared to ask questions and to discuss the material in class. If you don't understand something during lecture or from the textbooks, please don't be shy, ask questions! If something catches your interest and you want to learn more, ask questions. Talking with me outside of lecture is also one way to participate in class; I want to see evidence of your actively trying to understand quantum mechanics.

You are allowed to collaborate on homework (this is realistic, scientists collaborate all the time in research!). However: you must write up your homework on your own, in your own words, and with your own understanding. You must also acknowledge explicitly at the beginning of your homework anyone who gave you substantial help, e.g., classmates or the TA or myself. (Again, scientists usually acknowledge in their published articles colleagues that helped in completing some particular research.) Failure to write your homeworks in your own words and failure to acknowledge help when given can lead to severe academic penalties so please play by the rules.

Your main two goals in writing up your homework are to be clear (so that the teaching assistant and I can understand what you have written) and to demonstrate insight. Writing clearly means using readable handwriting. You should avoid tiny script and avoid trying to cram many sentences and equations onto a single page. Leave plenty of space between symbols and between lines of equations and leave plenty of space between the ending of one homework problem and the beginning of the next. Spread your answer out over many pages if necessary; paper is cheap compared to the time of working on or grading your homework.

Demonstrating insight means using complete sentences that explain what you are doing and why (e.g., as you proceed with some mathematical derivation). Cryptic brief answers like "yes", "no", "24" or "f(x)" will not be given credit. Your homework must show that you understand how you got your answer and that you appreciate the significance of your answer. A simple criterion for a well-written complete answer is that you will be able to understand it yourself a month after you have written your answer, even without remembering what the original question was.

In writing your homeworks, you should also pay attention to details. All symbols should be given names the first time you introduce them (say "the momentum p" or "the flux F" instead of just using the symbols p and F). Physical units should be given for any answer that is a physical quantity ("the angular momentum was A=0.02 J-sec", "the angle was µ=0.32 radians"). Graphs should have their axes clearly labeled by symbol and units, and should have a title explaining the purpose of the graph. To learn how to write in an effective scientific style, try reading research articles such as those published in Physical Review Letters .

Late homeworks are not accepted. If you think you will not be able to hand in your homework by its due date, please get in touch with me as soon as possible (at least three days before the due date) and explain what the situation is.

References

The following textbook is required for the course: I will also be writing lecture notes which complement the textbook and lectures. These notes will be available online at the following URL: The following books are useful supplementary references that will be on reserve. Please take advantage of them! Quantum mechanics remains an extremely important, active, and exciting subject with significant applications to many branches of science and technology. You should get in the habit of browsing through journals such as Physics Today , Physical Review Letters , Science , Science News , and Scientific American to develop an awareness of scientific frontiers involving quantum mechanics.

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