Thermodynamics Properties of Confined Particles on Noncommutative Plane

Abstract

We consider a system of $N$ particles living on the noncommutative plane in the presence of a confining potential and study its thermodynamics properties. Indeed, after calculating the partition function, we determine the corresponding internal energy and heat capacity where different corrections are obtained. In analogy with the magnetic field case, we define an effective magnetization and study its susceptibility in terms of the noncommutative parameter $\theta$. By introducing the chemical potential, we investigate the Bose-Einstein condensation for the present system. Different limiting cases related to the temperature and $\theta$ will be analyzed as well as some numerical illustration will be presented.

arXiv comment13 pages, 5 figures

References in corpus (12)

• Non-Commutative Quantum Mechanics
• Hall Effect in Noncommutative Coordinates
• Non-commutative Oscillators and the commutative limit
• Aharonov-Bohm effect in a Class of Noncommutative Theories
• Spin Hall effect on a noncommutative space
• Inertial spin Hall effect in noncommutative space
• Thermodynamics on Noncommutative Geometry in Coherent State Formalism
• Spin Hall Effect in Noncommutative Coordinates
• Exploring the thermodynamics of non-commutative scalar fields
• Noncommutative spaces and covariant formulation of statistical mechanics
• Statistical mechanics of free particles on space with Lie type noncommutativity
• Fractional Quantum Hall States in Graphene