Bose-Einstein Condensation in the Relativistic Ideal Bose Gas

Understand

The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated for all boson number-densities, all boson point rest masses, and all temperatures.

• The Helmholtz free energy at the critical BEC temperature is found to be lower, thus implying that the omission of antibosons always leads to the computation of a metastable state.