Condensation in ideal Fermi gases

I investigate the possibility of condensation in ideal Fermi systems of general single-particle density of states. For this I calculate the probability wN0 of having exactly N0 particles in the condensate and analyse its maxima. The existence of such maxima at macroscopic values of N0 indicates a condensate. An interesting situation occurs for example in 1D systems, where wN0 may have two maxima. One is at N0 = 0 and another one may exist at finite N0 (for temperatures below a certain condensation temperature). This suggests the existence of a first-order phase transition. The calculation of wN0 allows for the exploration of ensemble equivalence of Fermi systems from a new perspective. (letter to the editor)