Abstract
Expressions based on a recently proposed approximate density of states function are derived for thermodynamic functions of an ideal relativistic Bose gas in d dimensions. The results obtained are compared with those found using the exact density of states and agreement is found to be good in the three-dimensional case but less good in higher dimensions. It is noted that, in the extreme relativistic and non-relativistic limits, results agree exactly and, in the vicinity of the state of zero kinetic energy, the two densities of states exhibit smaller behaviour. Mention is made also of the application of this approximate density of states function to a consideration of the ideal relativistic Fermi gas.
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