Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12358/21511
Title | Hamilton-Jacobi Formulation of Constrained Particles and Strings |
---|---|
Untitled | |
Abstract |
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. |
Authors | |
Supervisors | |
Type | رسالة ماجستير |
Date | 2007 |
Language | English |
Publisher | the islamic university |
Citation | |
License | ![]() |
Collections | |
Files in this item | ||
---|---|---|
file_1.pdf | 412.6Kb |