Solid state physics textbook with detailed mathematical derivations

[Livethefire]

Hey, I've done a search here on this forum as well as the internet and can't find very many detailed Solid State physics books reccomendations.

I am on a 3rd year class in solid state. The lectures are almost exclusively mathematics, as well as the notes. Id love for a book to follow the maths, to explain were it comes from basically... Its not really clear.

Book recommendations for the course were:


Kittel, Charles - Introduction to solid state physics / Charles Kittel
Which covered the basics good, but isn't as detailed in describing the maths- Or at least doesn't go into as much depth.

Elliott, S. R., Stephen Richard, 1952-. - The physics and chemistry of solids.
I haven't had a look at this one yet to be honest but its not the "main" book. Kittel appears to be the main book for the course.

Besides the basic Crystal lattices and reciprocal space etc (which I am fairly fine with) the topics which have been discussed mathematically in lectures were(so far):

Harmonic Oscillator
Phonons and heat capacity etc
Anharmonic effects
Fermi Gas
Thompson Fermi Screening
Bloch
Kronig Penny Model
Central equation
Weak periodic Pot.
Band gap

The list goes on. Each lecture is, as I've said, pages of maths. A bit more context and explanation of the math would be awesome:

a lot of the maths appears to be application of the Schrödinger equation, Fourier analysis and application of to solve differential equations, bloch condition etc.

So naturally any reccomendations for books or sources would be amazing.

Thanks

 

[physiker_192]

A standard text which is considered detailed compared to Kittel's is Ashcroft & Mermin's:

https://www.amazon.com/dp/0030839939/?tag=pfamazon01-20

It dates back to the 1970s but this shouldn't be a problem, since the basics are more or less the same. The price is relatively high, but second hand copies are available.

 

[Livethefire]

THanks, I picked one up in the library today, along with Princples of the theory of Solids Zimin.

Ill compare them and see what helps.