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|Title||Hamilton-Jacobi Formulation of Constrained Particles and Strings|
In this dissertation, we explore various aspects of the singular physical systems, which are treated by using the Hamiltonian formulation of constrained systems. The Hamilton-Jacobi formalism, are presented for supersymmetry models of supersymmetric particles and string. The formalism is applied to study the dynamics of massive Brink-Schwarz superparticle and massless Seigel superparticle with simple supersymmetry N = 1, possesses in the most popular superspace in physics R4│4. The integrability conditions are satisfied, so the systems are integrable. We have applied the method to obtain the classical dynamics in phase-space of massless spinning superparticles. By proceeding in the same way, we analyze the dynamics of superparticle with extended supersymmetric N = 2 coupled with an external superpotential, and various applications of superstring. Firstly, we generalize this approach for a string that is propagating in 4D superspace. Secondly, the example of Green-Schwarz superstring, which provides the most realistic string models has been formulated. Besides, a mechanical model of D = 11 superstring is constructed, and in terms of the Hamilton-Jacobi formalism the equations of motion are derived and discussed, as total differential equations in many variables.
|Publisher||the islamic university|
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