The Sommerfield expansion is an expansion in powers of

Chapter 7, Problem 30P

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Problem 30P

The Sommerfield expansion is an expansion in powers of KT/ϵF, which is assumed to be small. In this section I kept all terms through order (KT/ϵF)2, omitting higher-older terms. Show at each relevant step that the term proportional to T3 is zero, so that the next nonvanishing terms in the expansions for µ and U are proportional to T4. (If you enjoy such things, you might try evaluating the terms, possibly with the aid of a computer algebra program.)

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