Abstract

We study the Bose-Einstein condensation of a gas with ${\mathrm{SU}}_{q}(2)$ symmetry. We show, in the thermodynamic limit, that the boson interactions introduced by the quantum group symmetries enhance Bose-Einstein condensation giving a discontinuity in the heat capacity ${C}_{v}$ at the critical temperature ${T}_{c}.$ The critical temperature and the gap in ${C}_{v}$ increase with the value of the parameter $q$ and become approximately constant for $q>3$.

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