Bose-Einstein condensation of a quantum group gas

Abstract

We study the Bose-Einstein condensation of a gas with $S{U}_q(2)$ 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 $q>3$.

LaTeX file, 17 pages, two epsf.tex figures; The Introduction has been expanded, and some references were added

Cited by in corpus (18)

• Statistical mechanics in the context of special relativity
• Generalized thermodynamics of q-deformed bosons and fermions
• Thermostatistics of q-deformed boson gas
• Thermodynamic Geometry of Deformed Bosons and Fermions
• Bose-Einstein Condensation in the Framework of $\kappa$-Statistics
• Thermodynamics of boson and fermion systems with fractal distribution functions
• Virial coefficients in $(\tilde{\mu },q)$-Bose gas model related to compositeness of particles and their interaction: temperature-dependence problem
• Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
• Bose Einstein condensation in a gas of the Fibonacci oscillators
• λ-transition in low dimensional systems with SU_q(2) symmetry
• Non-extensive entropy of bosonic Fibonacci oscillators
• $q$-deformed Fermion in Many-Particle Systems and Its Application to BCS Theory
• Geometry of Quantum Group invariant systems
• Intermediate statistics: addressing the thermoelectric properties of solids
• Quantum group invariant, nonextensive quantum statistical mechanics
• Effect of quantum group invariance on trapped Fermi gases
• Correlation functions in the factorization approach of nonextensive quantum statistics
• Remarks on SU_q(2) fermions