Physics 827 (Fall, 2007)

[Introduction and General Format|Syllabus]
[Problem Sets| Suggested Reading]
[Offices Hours; Grader| [Lecture Notes| Random Information]


Introduction and General Format

Physics 827 is the first quarter of a full-year sequence on Quantum Mechanics. The text will be "Principles of Quantum Mechanics," 2rd edition, by R. Shankar (Kluwer/Plenum, New York, 1994). The instructor is David Stroud.

We will meet in McPherson 1021 Mondays and Wednesdays from 2:30 to 3:18 and Fridays from 1:30 to 2:18 and 2:30 to 3:18.

Grades will be based on one midterm (25%), a final (50%), and homework (25%).

The final will probably be held at the time indicated in the master schedule.

Besides the principal textbook, I will be drawing some material from various other books. Some good supplementary textbooks are the following:

``Quantum Mechanics,'' third edition, by Eugen Merzbacher (Wiley, New York, 1998).

``Modern Quantum Mechanics,'' second edition, by J. J. Sakurai (Addison-Wesley, New York, 1994).

``Quantum Mechanics, Non-Relativistic Theory,'' by E. M. Lifshitz, L. D. Landau (vol. 3 of Course of Theoretical Physics), third edition (Butterworth-Heineman, Oxford, 1977-2003).

``Quantum Mechanics,'' (two volumes), by Claude Cohen-Tannoudji, Bernard Diu, and Franck Laloe (Wiley, New York, 1977). I expect to take occasional lecture material from this book.

``Quantum Mechanics,'' (two volumes bound as one), by Albert Messiah.

``Introduction to Quantum Mechanics (2nd Edition)'' by David J. Griffiths (Prentice-Hall, 1994). Commonly used undergraduate text.

``Quantum Mechanics: Fundamentals,'' by Kurt Gottfried and Tung-Mow Yan (Advanced Book Classics). Old but still useful.

``Lectures on Quantum Mechanics,'' by Gordon Baym (Addison-Wesley Advanced Book Program)

Syllabus

During fall, I optimistically hope to cover all of the following: a mathematical introduction (linear vector spaces, bra-ket notation, etc.), postulates of quantum mechanics and Schrodinger's equation, one dimensional problems, multiparticle systems, symmetry, orbital angular momentum, and three-dimensional problems (mainly central potentials and the hydrogen atom). This corresponds roughly to parts of chapters 1, 4, 5, 7, 9, 10, 11, 12, and 13. I almost certainly will postpone path integrals (chap. 8) till a later quarter. The syllabi for winter and spring are not decided, but will probably be similar to those given in the course catalog.

Note: a good online math reference is http://mathworld.wolfram.com, which has lots of analysis, plus a great deal of information about special functions. Two good books are "Tables of Integrals, Series, and Products," 6th ed., by Gradshteyn, Ryzhik, Jeffrey, and Zwillinger (Academic, San Diego, 2000), and "Mathematical Methods for Physicists," by Arfken, Weber, and Weber (Academic, San Diego, 2001).

Problem Sets

I plan to have weekly problem sets, due on Wednesdays by 11:59 PM. If possible, turn in the problem sets into the mailbox of the grader in PRB. Alternately, you may turn them into my box, turn them in during class, hand them to me in my office, or slip them under my door (2048PRB) if I am not there.

In general, I do not object if you discuss the problems with one another while working on them. However, you should write up your solutions independently.

oProblem Set 1

oSolutions to PS 1.

oCorrection to above solution.

oProblem Set 2

oSolutions to PS 2.

oProblem Set 3

oSolutions to PS 3.

oProblem Set 4

oSolutions to PS4

oProblem Set 5

oSolutions to PS5

oProblem Set 6

oSolutions to PS6

o Problem Set 7

oSolutions to PS7

o Problem Set 8

oSolutions to PS8

oProblem Set 9 Note: The deadline for this homework has been postponed to beginning of class on Friday.

oSolutions to PS9

oSolutions to part of model final

oSolutions to remainder of model final, plus part of Shankar, problem 12.3.8.

I will not have any required reading. However, I will try to suggest sections of the text to be read before or after my lectures.

Note: the material of Chapter 11 (Symmetries...) will not be discussed this quarter. I will cover parts of chapter 11 next quarter.

Office Hours; Grader

My office is Room 2048 of the Physics Research Building. My office telephone no. is 292-8140 and my email address is stroud@mps.ohio-state.edu. Office hours will be M and W from 3:30 to 4:30 and by appointment. The grader is Rakesh Tiwari (email tiwari@mps.ohio-state.edu, office PRB2025). Please consult him if you have any questions about the homework grading.

Lecture Notes

oFirst Set of Notes (lectures of Sept. 19, 21, and 24)

oSecond Set of Notes (lectures of Sept. 26, 28, Oct. 1, 3, and part of Oct. 5)

oThird Set of Notes (lectures from Oct. 5 through Oct. 12).

oFourth Set of Notes (lectures from Oct. 12 through approximately Oct. 22: mostly harmonic oscillator and uncertainty principle).

oFifth Set of Notes (angular momentum, central potentials, particle in a 3d square well, free particle in spherical coordinates).

oSixth Set of Notes (hydrogen atom, several problems involving coupled harmonic oscillators).

These are posted for your convenience. I haven't edited them and they are not guaranteed to be error-free.

Random Information

oAlbert Einstein

oPaul Adrien Maurice Dirac

oCharles Hermite

oMax Planck

oNiels Bohr

o Werner Heisenberg

oErwin Schrodinger

o Schrodinger's cat