2021
DOI: 10.31219/osf.io/7mrbv
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q-Calculus and the Symmetrized Radioactive Decay Law

Abstract: The radioactive decay law was first formulated by Ernest Rutherford and Frederick Soddy in 1902. As a well-known law, one of its primary applications is to determine the dates of ancient specimens. The process is known as radiocarbon dating and is subjected to the known properties of radioactive nuclei. In this paper, we implement quantum calculus to express the solution of the radioactive decay equation in symmetrized q-exponential form. Also, we explore a q-analog of the decay constant using Tsallis logarith… Show more

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Cited by 1 publication
(2 citation statements)
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“…That is, λ ≈ λ q , since the half-lives are attainable-see ref. [18]. But for stable daughter nuclide the mean lifetime τ , which is given by τ = ∞ 0 t exp(−λt) ∞ 0 exp(−λt) is infinite.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…That is, λ ≈ λ q , since the half-lives are attainable-see ref. [18]. But for stable daughter nuclide the mean lifetime τ , which is given by τ = ∞ 0 t exp(−λt) ∞ 0 exp(−λt) is infinite.…”
Section: Discussionmentioning
confidence: 99%
“…N d (t) =N p (0)( [1] q − e q (−λ p t)) (2.4) However, a redefinition of the q-integer (see ref. [18]), where…”
Section: Nonadditive Statistical Mechanicsmentioning
confidence: 99%