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arXiv · 1906.03071

Comment on "Hybrid deformed algebra", by Andre A. Marinho, Francisco A. Brito [arXiv:1904.07843]

Johar M. Ashfaque
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Abstract

In this note, we show that the $μ$-oscillator does not lead to the Fibonacci sequence as claimed in \cite{Marinho:2019zny} since $[n]^μ=n$ in the limit $μ\rightarrow 0$. Thus we obtain the sequence $[0]^μ=0, 1, 2,...$. We only obtain the Fibonacci sequence when the $q$-deformation is associated to the $μ$-deformation via the basis number $$\lim_{μ\rightarrow 0} [n]^μ_{q_1, q_2} = \frac{q_1^{2n}-q_2^{2n}}{q_1^2-q_2^2}.$$

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Johar M. Ashfaque. 2019-05-31. Comment on "Hybrid deformed algebra", by Andre A. Marinho, Francisco A. Brito [arXiv:1904.07843]. https://arxiv.org/abs/1906.03071

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