Role of the density of states in Bose-Einstein condensation

The onset of Bose-Einstein condensation in systems with various densities of states is examined, with particular attention to the role of the behavior of their energy spectrum at low and high energies. Specifically, the results of Chaterjee and Diaconis [J. Phys. A: Math. Theor. 47, 085201 (2014)10.1088/1751-8113/47/8/085201], which rely exclusively on the high-energy behavior, are compared and reconciled with those of the standard physics approach, where the existence of condensation is determined by the low-energy behavior.