Effect of quantum group invariance on trapped Fermi gases
Abstract
We study the properties of a thermodynamic system having the symmetry of a quantum group and interacting with a harmonic potential. We calculate the dependence of the chemical potential, heat capacity and spatial distribution of the gas on the quantum group parameter q and the number of spatial dimensions D. In addition, we consider a fourth-order interaction in the quantum group fields , and calculate the ground state energy up to first order.
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