Cauchy’s integral formulation of Bateman equations for successive radioactive transformations

Authors

  • Meghwal Ram Swaroop Professor of Physics, Govt. College, Kota (Raj.)

Keywords:

radioactive decay, Harry Bateman’s formula, Cauchy’s formula, l- domain

Abstract

Cauchy’s formula for integration of a function of complex variable is applied to radioactive disintegration. Harry Bateman’s formula for successive radioactive decays converted into an elegant form. Mathematical singularities suggested peculiar instabilities in the physical system. The singular points in l- domain, are the localities of radioactive decay of the physical system.

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References

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5. Jerzy Cetnar, General solution of Bateman equations for nuclear transmutations, Annals of Nuclear Energy, Volume 33, Issue 7, May 2006, Pages 640-645

6. L. Moral, A. F. Pacheco, Algebraic approach to the radioactive decay equations, Am. J. Phys., 71, 684-686 (2003).

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8. Ronaldo Thibes, Suzicleide L. de Oliveira, general solution to Bateman’s differential equations with direct index notation, International Journal of Pure and Applied Mathematics Volume 93 No. 6, 879-883 (2014)

9. Rutherford E. and F. Soddy, The Cause and Nature of Radioactivity, J. Chem. Soc. 81, 321, 837 (1902)

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Published

2025-01-31

How to Cite

Meghwal Ram Swaroop. (2025). Cauchy’s integral formulation of Bateman equations for successive radioactive transformations. International Journal of Life Sciences, 187–193. Retrieved from https://ijlsci.in/ls/index.php/home/article/view/1723

Issue

2025: Special Issue of  International Conference on Futuristic Approach for Viksit Bharat (ICFAVB-2047)

Section

Research Articles

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Copyright (c) 2025 Author

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