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 $\Psi$, and calculate the ground state energy up to first order.

LaTeX file, 20 pages, four figures, uses epsf.sty, packaged as a single tar.gz uuencoded file

References in corpus (5)

• Trapped Fermi gases
• The Superfluid State of Atomic Li6 in a Magnetic Trap
• Mesoscopic Fermi gas in a harmonic trap
• Bose-Einstein condensation of a quantum group gas
• λ-transition in low dimensional systems with SU_q(2) symmetry

Cited by in corpus (3)

• Geometry of Quantum Group invariant systems
• The anticommutator spin algebra, its representations and quantum group invariance
• Remarks on SU_q(2) fermions