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arXiv 1906.03071quant-ph
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对Andre A.弗朗西斯科·马里尼奥布里托[ arXiv:1904.07843]

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

Johar M. Ashfaque

摘要:

在这份说明中,我们表明,$μ$ -振荡器不会导致斐波那契序列声称在\cite{Marinho:2019zny},因为$[n]^μ=n$在限制$μ\rightarrow 0$。因此,我们得到序列$[0]^μ=0, 1, 2,...$。当$q$ -变形通过基数$$\lim_{μ\rightarrow 0} [n]^μ_{q_1, q_2} = \frac{q_1^{2n}-q_2^{2n}}{q_1^2-q_2^2}.$$与$μ$ -变形相关联时,我们才得到Fibonacci序列

英文摘要:

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 $$\lim_{μ\rightarrow 0} [n]^μ_{q_1, q_2} = \frac{q_1^{2n}-q_2^{2n}}{q_1^2-q_2^2}.$$

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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