Fibonacci Oscillators in the Landau Diamagnetism problem

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 $q_1$ and $q_2$. 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 $q_1^2+q_2^2$=1.

arXiv commentLatex, 11 pages, two figures, version to appear in Physica A

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Cited by in corpus (7)

• Thermal and electrical properties of a solid through Fibonacci oscillators
• Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
• Application of Fibonacci oscillators in the Debye model
• Dynamics of observables in a $q$-deformed harmonic oscillator
• Intermediate statistics: addressing the thermoelectric properties of solids
• Hermite polynomials and Fibonacci Oscillators
• Generalized Brans-Dicke theory from Verlinde's entropic gravity