Physics 829 (Spring, 2009)

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


Introduction and General Format

Physics 829 is the third quarter of a full-year sequence on Quantum Mechanics. The text will continue to be "Principles of Quantum Mechanics," 2rd edition, by R. Shankar (Kluwer/Plenum, New York, 1994; ISBN 0-306-44790-8; list price $95, available on amazon.com for $75.96 or less). In addition, I will use occasionally use ``Lectures on Quantum Mechanics'' by Gordon Baym (ISBN 0-8053-0667-6; list price $70, available on amazon.com for $63 or less) and other sources for supplemental material.

The instructor is David Stroud, and the grader is Advait Nagarkar.

We will meet in Smith 1180 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 (about 30%), a final (about 45%), and homework (25%).

The midterm will be given on Friday, May 8. The final will be given on Wednesdy, June 10 from 1:30 to 3:18 (i. e. the scheduled time as given by OSU).

Besides the principal textbook, I expect to be taking 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)

``Quantum Mechanics for Scientists and Engineers,'' by David A. B. Miller (Cambridge U. Press, 2008). Undergrad/grad text with some material not found in most quantum texts (brief intro to quantum information theory, quantum mechanics of crystals).

``Quantum Mechanics in a Nutshell,'' by Gerald D. Mahan (Princeton U. Press, 2009). Textbook in graduate quantum mechanics, as taught by Mahan for many years. Much material not found in most quantum texts (entanglement, many-particle systems, Bose-Einstein condensation).

Syllabus

During spring quarter, I plan to cover all of the following: scattering theory, Dirac equation, quantization of electromagnetic fields, quantum-mechanical interaction between em waves and charged particles, path-integral formulation of quantum mechanics (probably), introduction to quantum mechanics of many-particle systems (Hartree and Hartree-Fock approximations), quantum mechanics of atoms and molecules, (possibly) density matrix.

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

oProblem Set 1.

oSolutions to PS 1.

oProblem Set 2.

oSolutions to PS 2.

oProblem Set 3.

oSupplement to PS3 (not to be turned in; solutions will be posted Wednesday, April 29).

oSolutions to PS3 and to PS3 supplement.

oProblem Set 4.

oSolutions to PS4

oProblem Set 5.

oSolutions to PS 5.

oProblem Set 6.

oSolutions to PS 6.

oProblem Set 7.

oSolutions to PS 7.

oProblem Set 8.

oSolutions to PS8

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 (Advait Nagarkar) 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 calculating the homework grade, I will discard your lowest (by percent) homework score, and sum up the remaining scores, normalizing them to 100. Thus, you may omit one homework without penalty.

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.

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.

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 are usually Monday and Wednesday from 3:30 to 4:30, or you can see me by appointment, or you can drop by. The grader is Advait Nagarkar (email nagarkar.2@osu.edu, office PRB3023). Please consult him if you have any questions about the homework grading.

Lecture Notes

oFirst set of lecture notes (scattering theory I: definition of cross section; Born approximation).

oSupplement to first set of lecture notes

oSecond set of lecture notes (scattering theory II: mostly partial wave expansion).

oCorrections to second set of lecture notes.

oThird set of lecture notes (Dirac equation).

oFourth set of lecture notes (quantum theory of the radiation field, quantum theory of the electron-photon interaction, and spontaneous emission. Also, one more lecture on the Dirac equation.

oFifth set of lecture notes (fine and hyperfine structure of the hydrogen atom).

oSixth set of lecture notes (periodic table, Hartree and Hartree-Fock approximations, Slater determinants, exchange energy, ground and excited states of He atom, atomic configurations and atomic term structures through Ne, Hund's Rules. Also, introduction to molecules: Born-Oppenheimer approximation, H_2_ molecule ion, H_2 molecule, bonding and antibonding molecular orbitals, Heitler-London or valence bond method).

oSeventh set of lecture notes (more on molecules: hybrid orbitals, sp3 and sp2 bonding, diamond, graphite, ethylene, acetylene, benzene; brief introduction to vibrational and rotational levels of diatomic molecules).

oEight set of lecture notes (path integral formulation of quantum mechanics).

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

Random Information

oWolfgang Pauli

oAlbert Einstein

oPaul Adrien Maurice Dirac

oCharles Hermite

oMax Planck

oNiels Bohr

o Werner Heisenberg

oErwin Schrodinger

o Schrodinger's cat