arXiv subjects

Eyad Hasan Hasan

Publications and source records attributed to Eyad Hasan Hasan.

2 recordsLinked to original sources

arXiv2025

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

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.

math.GM↗

arXiv2023

Fractional Quantization of Singular Lagrangian systems with Second-Order Derivatives Using WKB Approximation

In this paper, the theory of the fractional singular Lagrangian systems is investigated with second order derivatives. The fractional quantization for these systems is examined using the WKB approximation. The Hamilton Jacobi treatment can be applied for these systems. The equations of motion are obtained. The Hamilton Jacobi partial differential equations are solved to determine the action function. By finding the action function, the wave function for these systems is constructed. We achieved that the quantum results are agreement with the classical results. Besides, to demonstrate the theory; two mathematical examples are examined.

math.GM↗