Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method  

作　　者：Eyad Hasan Hasan Osama Abdalla Abu-Haija Eyad Hasan Hasan;Osama Abdalla Abu-Haija(Applied Physics Department, Faculty of Science, Tafila Technical University, Tafila, Jordan)

机构地区：[1]Applied Physics Department, Faculty of Science, Tafila Technical University, Tafila, Jordan

出　　处：《Journal of Applied Mathematics and Physics》2025年第2期567-574,共8页应用数学与应用物理(英文)

摘　　要：We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we constructed the set of Hamilton-Jacobi partial differential equations (HJPDEs) within fractional calculus. We formulated the fractional path integral quantization for these systems. A mathematical example is examined with first- and second-class constraints.We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we constructed the set of Hamilton-Jacobi partial differential equations (HJPDEs) within fractional calculus. We formulated the fractional path integral quantization for these systems. A mathematical example is examined with first- and second-class constraints.

关 键 词：Fractional Path Integral Fractional Singular Lagrangians Fractional Calculus 

分 类 号：O17[理学—数学]