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Thermodynamics and occupation numbers of a Fermi gas in the canonical ensemble
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4.While this approach is not very elegant for the case of noninteracting electrons it allows, in contrast to the other methods discussed in this paper, the extension of these calculations to the case of interacting electrons (Ref. 12).
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10.In Ref. 2 the equidistant spectrum resulted from linearizing the quadratic dispersion of one-dimensional fermions around the Fermi momentum leading to i.e., In this paper the (low temperature) heat capacity per unit length and not per particle was calculated. If this is taken into account Eq. (13) of Ref. 2 corresponds to Eq. (A6) of the present paper.
11.In Ref. 3 half integer indices are introduced in order to make Eq. (23) look more symmetrical. In Eq. (24) this amounts to the replacement
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