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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
81
votes
Has the Lie group E8 really been detected experimentally?
It should be emphasized that this is not the $E_8$ of heterotic string theory or the $E_8$ gauge group in various grand unified theories. It comes out of something much more down-to-earth, namely sol …
37
votes
Where does a math person go to learn statistical mechanics?
A classic book on solvable two-dimensional models is Baxter's "Exactly Solved Models in Statistical Mechanics" now available in a new edition from Dover. The Yang-Baxter equation, of course, has many …
4
votes
Where does a math person go to learn statistical mechanics?
It's certainly not a basic book, but Itzykson and Drouffe's "Statistical Field Theory" gives a good overview of the use of quantum field theory techniques in statistical mechanics. Some of the chapte …
8
votes
Where does a math person go to learn statistical mechanics?
There are also Feynman's lecture notes: "Statistical mechanics: a set of lectures". I haven't used them myself.
7
votes
Where does a math person go to learn statistical mechanics?
McCoy and Wu's "The Two-Dimensional Ising Model" is, of course, devoted mostly to the Ising model, but one can learn a lot about statistical mechanics in general by reading it.