Fermi-boson model

Here d is the space dimension, p is the number density, and ef, the Fermi energy, is the energy of the highest occupied level at zero temperature. We omit the calculation of this formula, which may be found in the context of the Fermi gas model of electrons in solids in most solid state textbooks. Obviously the pressure this time satisfies Eq. (5.159). But what about the Bosons The answer is contained in Fig. 5.15. At finite density P a and thus dP/dT v 0 for T 0. Again Nernst s theorem is satisfied. Let us therefore look at the relation between the Nernst theorem and quantum theory. 

As a final example of application of the intensive boson operator technique to the one-dimensional algebraic model, we consider the case of the n m Fermi operator introduced in Section III.E [Eq. (3.128)]. A straightforward use of the aforementioned method leads to the classical potential surface... 

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