Quantization of Fractional Constrained Systems with WKB Approximation

Authors

Ola A. Jarabah, Department of Applied Physics, Tafila Technical University, P. O. Box 179 Tafila 66110, JordanFollow

Author Country (or Countries)

Jordan

Abstract

In this paper the constrained systems with two primary first class constraints are studied using fractional Lagrangian, after that we find the fractional Hamiltonian and the corresponding Hamilton Jacobi equation. Using separation of variables technique, we can find the action function S this function helps us to formulate the wave function which describe the behavior of our systems also from the action function S we can find the equations of motion and the corresponding momenta in fractional form. This work is illustrated using one example.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/170519

Recommended Citation

A. Jarabah, Ola (2023) "Quantization of Fractional Constrained Systems with WKB Approximation," Applied Mathematics & Information Sciences: Vol. 17: Iss. 5, Article 19.
DOI: https://dx.doi.org/10.18576/amis/170519
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss5/19