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Kittel nearly free electron model

  • Thread starter ehrenfest
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  • #1
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1. Homework Statement
This question refers to Kittel's solid-state physics book.

I just do not understand the 1D example on pages 164-65. So, I understand everything until the line "The wavefunctions at [itex]k = \pm \pi/a[/itex] are not the traveling waves [itex]\exp(i\pi x/a)[/itex] or [itex]\exp(i\pi x/a)[/itex] of free electrons."

Kittel tries to explain, but I just don't understand. Is he saying that they will just bounce back and forth between k = pi/a and k = -pi/a by Bragg reflection? How does he know that!?!?!? PLEASE HELP!!


2. Homework Equations



3. The Attempt at a Solution
 
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Answers and Replies

  • #2
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I'm afraid I don't understand what you don't understand. Isn't he just stating that electrons in a lattice aren't free?
 
  • #3
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He is saying that it is only true for wavefunctions at [itex]k = \pm \pi/a[/itex].

genneth, do you have the book? If not then it will be hard to answer this question since I really don't understand like half a page after that and a figure on the previous page.

But thanks for your effort.
 
  • #4
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anyone ?
 

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