Theoretical Physics 8 by Wolfgang Nolting

Author:Wolfgang Nolting
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(3.147)

We see that in the region, where the extraction of the two terms might be of importance for the grand-canonical potential (3.146), is smaller than by a huge factor (∼ 10−7). This term is therefore not at all of any weight. This holds even more for the higher excited states. This is an important point, to which we will come back once more in Sect. 3.3.3. Equation (3.146) is therefore the correct ansatz for the grand-canonical potential of the ideal Bose gas:

The further procedure now runs completely analogously to that for the Fermi gas in Sect. 3.2.1. With the substitution, already used there,

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