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.

Latex, 11 pages, two figures, version to appear in Physica A

References in corpus (5)

• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Basic-deformed thermostatistics
• Deformed quantum mechanics and q-Hermitian operators
• A q-Oscillator with 'Accidental' Degeneracy of Energy Levels
• Bose Einstein condensation in a gas of the Fibonacci oscillators

Cited by in corpus (2)

• 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