Magnetic properties of a Fermi gas in a noncommutative phase space

2016/06/10 by S. A. Franchino-Viñas, Viñas, S. Franchino, F. Vega +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1606.03487

openalex publication_date 2016/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by the precision attained by SQUID devices in measuring magnetic fields, we study in this article the thermodynamic behaviour of a fermion gas in two and three dimen\-sional spatial space with noncommutative coordinates and momenta. An explicit expression, both for Landau's diamagnetism and Pauli's paramagnetism, is obtained for the magnetization and magnetic susceptibility of the gas in two and three spatial dimensions. These results show that an upper bound for the noncommutative parameter θ\lesssim (10 Gev)^-2 could be obtained.

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• Thermodynamics in the NC disc

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