Fractional Calculus Theoretical Evolution for Radiation Quantities | Science Publications

Journal of Mathematics and Statistics

Abdullah Ajlouni¹  Sherin A. Sareireh¹  Amin Al-Okour¹  Abdul-Wali Ajlouni¹ 

关键词: Fractional calculus;    quantization of nonconservative systems;    interaction of radiation with matter;    energy loss;    absorbed dose;    stopping power;    dissipative medium;   

DOI  :  10.3844/jmssp.2012.72.76

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: Radiation dosimetry features depend on semi-empirical formulas that lack a strong mathematical framework. This is due to the fact that the microscopic radiation interaction with matter includes energy losses that have never been described properly in quantum mechanics, which deals with conserved energy systems. Approach: Using the recent theory of the quantization of nonconservative systems using fractional calculus. Results: Most important charged particle interaction features and consequences like energy loss, stopping power, range, absorbed dose and radiotoxicity are frame-worked mathematically. Conclusion: The results manifest a good agreement with experimental and semi-empirical results.

【 授权许可】

Unknown