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http://hdl.handle.net/20.500.12358/21441
TitlePath Integral Quantization of Constrained Systems
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Abstract

In this thesis some singular physical systems are quantized using the canonical formulation and the Dirac’s method. The two methods represent the Hamiltonian treatment of the constrained systems. Dirac’s method introduced the primary constraints, then constructing the total Hamiltonian. The consistency conditions are checked on the primary constraints. The equations of motion in this method are in ordinary differential equation form. In the canonical method the equations of motion are total differential equations in many variables. These equations are integrable if the integrability conditions are identically satisfied. Path integral quantization of three different systems, are studied, free relativistic spinless particle, relativistic spinless particle in an external electromagnetic field and a charged particle moving in a constant magnetic field. In the study, the integrability conditions are satisfied, so the systems are integrable. Consequently the path integral quantization is obtained directly as an integration over the canonical reduced phase space coordinates. This makes the canonical method simpler than Dirac’s method.

Authors
Dalloul, Tahany Riziq
Supervisors
Farahat, Nasser I
Typeرسالة ماجستير
Date2004
LanguageEnglish
Publisherthe islamic university
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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