Possible typo in Ashcroft & Mermin's book?

[FranzDiCoccio]

Hi,

I was taking a look to Appendix M of A&M "Solid State Physics" (Conservation of Crystal Momentum). Seems to me that in Eq. (M.6), at page 785 in my edition, the symbol P_i (capital P, defined for the ions) is used in place of p_i (small p, defined for additional particles).

I'm new to the forum, so I'm not sure that this kind of comment fits in this topic or rather in Homework and Coursework...

I also hope I'm not taking a blunder, and that this comment is not too useless.

Cheers

 

[olgranpappy]

I think you are correct--it's a typo.

In fact, A+M don't use the symbol $${\bf P}_i$$ for the ions, or anywhere else in the appendix. They use $${\bf P}({\bf R})$$. Thus it seems even more reasonable that what we they have is a typo.

 

[FranzDiCoccio]

I think you are correct--it's a typo.

In fact, A+M don't use the symbol $${\bf P}_i$$ for the ions, or anywhere else in the appendix. They use $${\bf P}({\bf R})$$. Thus it seems even more reasonable that what we they have is a typo.

Yes, sorry, I meant P(R) instead of P_i. Seems I introduced a typo as well.
Anyway, the point is that (Eq. M6) should feature a small p instead of a capital P.

Thanks a lot for replying. Probably not a very dangerous typo, but I thought it was perhaps worth sharing.

Cheers

F

 

[FranzDiCoccio]

I think I've spotted another typo. It's in problem 5 of Chapter 17 "beyond the independent ..." (page 352 in my edition of the book).
Problem 5 illustrates the derivation of equation (17.56), i.e. $$\chi(q)$$ in the Lindhard theory of screening. I think $$\psi_k(r)^2$$ should be $$|\psi_k(r)|^2$$ in equation (17.80).

Hope someone finds this useful.

cheers