Quantum Calculus and the Symmetrized Radioctive Decay Law

Shawn Eastmond
2020 figshare.com  
The radioactive decay law was first formulated by Ernest Rutherford and Fred- erick 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 sub- jected to the known properties of radioactive nuclei. In this paper, we implement quantum calculus (q = eh) to express the solution of the radioactive decay equation in symmetrized q-exponential form. Also, we explore the q-analog of the decay
more » ... nalog of the decay constant using Tsallis log- arithmic function for various miscellaneous q-values. Furthermore, the factor-label method was applied to our analysis to show that the correct units remained intact under the appli- cation of quantum calculus. In conclusion, we showed that a variation of the q-parameter was akin to the production of a new isotope ∀q ∈ (0, 1)—the superadditive regime.
doi:10.6084/m9.figshare.13281032.v1 fatcat:duetba4nmzegbh7u3jv4p7q3ku