Fibonacci oscillators in the Landau diamagnetism problem

2014/03/31 by André A. Marinho, Andre A. Marinho, F. A. Brito +3 · 18 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Combinatorics #Condensed matter physics #Degenerate energy levels #Diamagnetism #Fibonacci number #Landau quantization #Limit (mathematics) #Magnetic field #Magnetization #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Statistical Mechanics and Entropy #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1016/j.physa.2014.06.008

published in Physica A Statistical Mechanics and its Applications 411, 74-79 (Elsevier BV) · Latex, 11 pages, two figures, version to appear in Physica A

arxiv created 2014/06/09 · openalex publication_date 2014/06/16 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We address the issue of the Landau diamagnetism problem via q-deformed algebra of Fibonacci oscillators through its generalized sequence of two real and independent deformation parameters q₁ and q₂. We obtain q-deformed thermodynamic quantities such as internal energy, number of particles, magnetization and magnetic susceptibility which recover their usual form in the degenerate limit q₁² + q₂²=1.

Citations

• Statistics of q-oscillators, quons and relations to fractional statistics
• Thermostatistics of Deformed Bosons and Fermions
• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Landau diamagnetism in noncommutative space and the nonextensive thermodynamics of Tsallis

Cited by

• Thermal and electrical properties of a solid through Fibonacci oscillators
• Hermite polynomials and Fibonacci oscillators
• Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model