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

2023/01/27 by Eyad Hasan Hasan, Hasan, Eyad Hasan, Abu-Haija, Osama Abdalla
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2301.11809

openalex publication_date 2023/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The fractional quantization of singular systems with second order Lagrangian is examined. The fractional singular Lagrangian is presented. The equations of motion are written as total differential equations within fractional calculus. Also, the set of Hamilton Jacobi partial differential equations is constructed in fractional form. The path integral formulation and path integral quantization for these systems are constructed within fractional derivatives. We examined a mathematical singular Lagrangian with two primary first class constraints.

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