# Physics 880.06: Condensed Matter Physics (Fall, 2003)

[ Introduction and General Format
| Syllabus ]

[Office Hours; Grader|
Useful Concepts and Random Information]

[ Problem Sets |Problem
Set 1 |Problem Sets 2 through 9 ]

[Term Project]

Physics 880.06 is the first quarter of a three quarter sequence on
Condensed Matter Physics.
The main text for the first two quarters will be
Ashcroft and Mermin, ``Solid State Physics''
(Saunders, 1976). Some supplementary material will be drawn from
Michael P. Marder ``Condensed Matter Physics'' (Corrected
Printing, Wiley Interscience, 2000),
and Chaikin and Lubensky, ``Principles of Condensed
Matter Physics,'' (Cambridge U. P., 1995).
The third quarter will probably be devoted to a single special topic.
Suggested background includes quantum mechanics and electricity
and magnetism at the undergraduate level. Some background in
undergraduate statistical physics would be useful, but will be
developed as needed. The course should be accessible to many first
year grad students and possibly
even a very well prepared undergraduate. If you have questions
about the needed background, please get in touch with me.

The course will meet MWF from 9:30 to 10:18 in Smith 3094.
The instructor is David Stroud (email stroud@mps.ohio-state.edu;
telephone 292-8140; office Smith 4034).

Grading will be based on homework (about 50%) and a small project
(about 50%). I will discard your grade on the
lowest homework set. Grades will be distributed
according to the usual scale for 880xx courses.

Topics for fall quarter will include
Drude and Sommerfeld free-electron theory of metals,
crystal lattices, the reciprocal lattice, methods for
measuring crystal structures (X-ray and neutron diffraction),
electronic states in a periodic potential, methods for calculating
electronic structure, band structure of selected solids,
the classical and quantum theory of the harmonic lattice, and,
if time permits, the semiclassical theory of electron
dynamics and electronic conduction.

My office hours will be Mondays and Wednesdays from 10:30 - 11:30,
and by appointment.

The grader is Dr. Sung Yong Park (email: parksy@mps.ohio-state.edu).

o
Paul Drude

o Arnold Sommerfeld

o Felix Bloch

o Leon Brillouin

o William H. Bragg

o William Lawrence Bragg

o Billy Bragg

Due Friday, October 3, 2003

1. Ashcroft and Mermin, Chapter 1, Problem 4 (a), (c), and (d).

2. Consider a small spherical metal particle (``small'' meaning
of radius much less than a wavelength).
Show that the ``surface plasmon frequency'' (i. e. the natural
frequency of oscillation) of an electron gas in such a small
particle is \omega_p/\sqrt{3}, where \omega_p is the bulk plasma
frequency.

Hint: assume that the electron gas is immersed in a uniform
positive background, and calculate the restoring force when the
electron gas is displaced a small amount from equilibrium.

3. Using typical resistivity values of metals, and typical
electron densities, estimate the dimensionless
parameter \omega_p\tau for a typical metal around room
temperature.

Note: each homework problem is worth 10 points, unless otherwise
specified.

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Problem Set 7

Problem Set 8

Problem Set 9

Term Project