On the role of twisted statistics in the noncommutative degenerate electron gas

Abstract

We consider the problem of a degenerate electron gas in the background of a uniformly distributed positive charge, ensuring overall neutrality of the system, in the presence of non-commutativity. In contrast to previous calculations that did not include twisted statistics, we find corrections to the ground state energy already at first order in perturbation theory when the twisted statistics is taken into account. These corrections arise since the interaction energy is sensitive to two particle correlations, which are modified for twisted anti-commutation relations.

References in corpus (5)

• Algebras of distributions suitable for phase-space quantum mechanics. I
• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
• The Weyl-Heisenberg Group on the Noncommutative Two-Torus: A Zoo of Representations

Cited by in corpus (5)

• Formulation, Interpretation and Application of non-Commutative Quantum Mechanics
• Spectrum of the non-commutative spherical well
• Thermodynamics of a non-commutative fermion gas
• Some Studies in Noncommutative Quantum Field Theories
• Bound state energies and phase shifts of a non-commutative well