next up previous index
Next: Problem: Effective Mass Up: Electronic Band Structure Previous: Problem: Electrons in 2D

Problem: Dirac-Delta Potentials in Two Dimensions

     An electron of mass m moves in a square lattice of lattice spacing a. The lattice potential is represented by Dirac-delta functions; tex2html_wrap_inline6057 .

(a) For the nearly free-electron approximation to work, in what sense must the potential be ``weak"? (What is the condition on tex2html_wrap_inline6007 ?)

(b) How big is the energy gap between the second and third lowest energy bands?

 


This document can be accessed on the World Wide Web at "http//:solidstate.physics.sunysb.edu/book/prob/ ".

Laszlo Mihaly
Thu Oct 31 13:23:11 EST 1996


Back to the Small cover of the book Cover Page .