Quantization of the Scalar Field Coupled Minimally to the Vector Potential.

A system of the scalar field coupled minimally to the vector potential is quantized by using canonical path integral formulation based on Hamilton-Jacobi treatment. The equation of motions are obtained as total differential equation and the integrability conditions are examined. c Electronic Journal of Theoretical Physics. All rights reserved

Path Integral Quantization of the Electromagnetic Field Coupled to A Spinor

The Hamilton-Jacobi approach is applied to the electromagnetic field coupled to a spinor. The integrability conditions are investigated and the path integral quantization is performed using the action given by Hamilton-Jacobi approach. cG Electronic Journal of Theoretical Physics. All rights reserved

Hamilton-Jacobi treatment of Lagrangian with fermionic and scalar field

The Hamilton-Jacobi formalism is applied to singular Lagrangian containing variables which are elements of a fermionic and a scalar field. The equations of motion are obtained as total differential equations in many variables. The integrability conditions are examined. Path integral quantization based on Hamilton-Jacobi approach is obtained for the system

Path Integral Quantization of Brink-Schwarz Superparticle

The quantization of the Brink-Schwarz superparticle is performed by canonical phase-space path integral. The supersymmetric particle is treated as a constrained system using the Hamilton-Jacobi approach. Since the equations of motion are obtained as total differential equations in many variables, we obtained the canonical phase space coordinates and the phase space Hamiltonian with out introducing Lagrange multipliers and with out any additional gauge fixing condition. c Electronic Journal of Theoretical Physics. All rights reserved

Hamilton-Jacobi Quantization Of Continuous Systems With Higher-Order Lagrangian Density

Continuous systems with higher-order Lagrangian density are treated as first order Lagrangian density by using Hamilton-Jacobi method. An example is studied in details

INTEGRATION OF HIGHER-ORDER SINGULAR SYSTEM

The integrability conditions of canonical equations of singular system of higher-order are determined in terms of Hamiltonians. The canonical equations of singular system of higher order are total differential equations

Treatment of a spinning particle or super-gravity in one dimension as singular system

Nassar, ZM; Farahat, NI

A Treatment of a Higher-Order Singular Lagrangian as Fields System

The higher-order singular Lagrangian system is treated as field system. Euler-Lagrange equations are solved with some constraints. An example is studied and a comparison with Hamiltonian formulation is done

Singular Lagrangians as field systems

The singular systems are treated as field systems with constraints. The Euler-Lagrange equations are solved with some constraints. The validity of our proposal has been tested by two examples of singular Lagrangians

Relativistic Classical Spinning Particle as Singular System of Second Order

A relativistic classical spinning-point particle is studied as a second-order singular Lagrangian system using the canonical formulation. The equations of motion are total differential equations in many variables. These equations of motion are in exact agreement with those obtained using Dirac's method