Department of Physics, University of Maryland, College Park, MD 20742-4111

Physics 731 HOMEWORK ASSIGNMENT #6 Deadline: Thursday, Nov. 4, 1999

Midterm test on Tuesday, Nov.2

No classes on Tuesday, Thursday, Oct. 26, 28; 1st make-up Wednesday, Nov. 3, 6:30p.m.

 

Read about the electron gas: A&M chapters 1, 2, 3. Chap. 3 is short and descriptive.

Problems to turn in (read the rest):

1. 1-5 Argue en route that e (w sp) = -1. By the way, surface plasmons were studied first at U. of Maryland, by E.A. Stern and R.A. Ferrell [Phys. Rev. 120, 130 (1960)].)

2. 2-1 (parts a–e only)

3. 2-3 (parts a–b only)

4. 2-4 (all)

5. Calculate the density of states for a one-dimensional gas of free electrons in a so-called quantum wire with the boundary conditions y (x,y,z) = 0 for |x| > a and |y| > b, where a and b are of atomic dimensions.