Geometry of Quantum Group invariant systems

Abstract

Starting with the partition functions for quantum group invariant systems we calculate the metric in the two-dimensional space defined by the parameters $\beta$ and $\gamma =-\beta \mu$ and the corresponding scalar curvature for these systems in two and three spatial dimensions. Our results exhibit the details of the anyonic behavior of quantum group boson and fermion systems as a function of the fugacity $z$ and the quantum group parameter $q$. For the case of the quantum group $S{U}_q(2)$, we compare the stability of these systems with the stability of SU(2) invariant boson and fermion systems.

17 pages, 9 figures

References in corpus (9)

• Thermodynamic curvature measures interactions
• Exact solution for mean first-passage time on a pseudofractal scale-free web
• Thermodynamic Geometry of Deformed Bosons and Fermions
• Thermodynamic Geometry of Fractional Statistics
• Ruppeiner Geometry of Anyon Gas
• High temperature behavior of a deformed Fermi gas obeying interpolating statistics
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Deformed gas of p,q-bosons: virial expansion and virial coefficients
• Scalar curvature of systems with fractal distribution functions

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