Homework Assignment 1
  Ashcroft&Mermin Chap. 4: Probs. 1,2,3,5.
Due Sept. 30.
Solutions

  Homework Assignment 2
  Ashcroft&Mermin Chap. 5: Probs. 1,2,3,4.
Due Oct. 7. ALSO: Read Chap. 1 and come to class with at least one question to discuss.
Read problems at end of chapter.
Solutions

Homework Assignment 3
Ashcroft&Mermin Ch. 2: All parts of Prob. 1.
Also: investigate the question of zero energy free electron states: Laplacian Psi(r)=0. How many solutions can you find? Which ones are normalizable? Due Oct. 12.

Read Chap. 6 (xray diffraction) and first 9 pages of Chap. 7 (crystal structures). There will be a brief quiz at the beginning of class.
Solutions

Homework Assignment 4
Ashcroft&Mermin Ch. 6:
Probs. 3(a), 3(b), 5(a), 5(b). Due Oct. 14.
Read rest of Chap. 7, then Chap. 8.
Solutions

MidTerm Exam #1, Oct. 19
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Homework Assignment 5
Ashcroft&Mermin Ch. 8:
Read completely through Prob. 1, then do 1(a). Due Oct. 21.
Read 1st 7 pages of Chap. 9.
Solutions

Homework Assignment 6, A&M Ch. 9:
work through Prob. 1(a), which is mostly getting accustomed to k-space symmetry points in 3D (fcc).
Starting from the sum over delta function expression, calculate the density of states g(E) for free electrons in 1D and in 3D.
Due Oct. 26.
Read 1st 5 pages of Chap. 10.
Solutions

Homework Assignment 7 is here.
It is due next Monday, Nov. 2.
Read through Ch. 11 by Monday but we will discuss only the APW and Pseudopotential methods.
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Homework Assignment 8 is here.
It is due next Monday, Nov. 9.
To modify what was just said above, read through all of Ch. 11 by Wednesday, we will discuss somewhat more generally than only the APW and Pseudopotential methods.
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MidTerm Exam #2, Nov. 9
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Homework Assignment 9: In Ch. 12 of Ashcroft & Mermin, do problems 1,2,3. This will introduce you to ways that transport coefficients are connected to the Fermi surface(s). It is due Monday, Nov. 16.
You will need to read the entire chapter to do these problems. Class will address questions and continue with other problems beyond 12.3, and related properties.
Solutions

Homework Assignment 10: in the "handout" posted to the web site, on theory (and evaluation) of transport coefficients (Allen et al.), go through the formalism to derive the given expressions for the conductivity tensor and for the thermoelectric tensor in Eq. (7) and (9), from the expressions in earlier equations. [Not for the Hall tensor.] Pay attention and comment on the similarities and the difference (i.e. why they arise). Due Wednesday Nov. 18.
Solutions

Homework Assignment 11: we (you) have effectively already started work (the previous assignment) on the content of Chap. 13. Read through Ch. 13, which is quite dense with equations and response functions. Then work through Prob. 4 of Ch. 13, parts (a,b,c). It will give a flavor of electronic response at low frequencies -- how it changes the expressions. Due Monday Nov. 23.

Homework Assignment 12: Thanksgiving doesn't mean you get the entire week off. Read (long-ish) Chs. 14 and 15, the latter is informative with hardly any equations.. Then work problems 14.2, 15.2, 15.3. Due Monday Nov. 30.
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Homework Assignment 13: Read/study pages 330-342 of Ch. 17. Then (1) carry out the integral in Eq. (17.19) to get the result given there and in (17.20) for the Hartree-Fock band energy E(k). Then (2) take the derivative to obtain the H-F velocity, and then expand this expression for momentum k very close to k_F. Make a quick sketch. Is the result reasonable or unreasonable, and why? Due Friday Dec. 4, put in my mailbox.

Final exam
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