Constrained Hamiltonian systems with higher-order lagrangians

العناوين الأخرى

أنظمة هاملتون المقيدة للدوال اللاغرانجية ذوات الرتب العالية

مقدم أطروحة جامعية

Mahmud, Sabirin Subhi Muhammad

مشرف أطروحة جامعية

Farahat, Nasir Ismail

أعضاء اللجنة

al-Saqqa, Bassam Hashim
Surur, Muin Khalil

الجامعة

الجامعة الإسلامية

الكلية

كلية العلوم

القسم الأكاديمي

قسم الفيزياء

دولة الجامعة

فلسطين (قطاع غزة)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2015

الملخص الإنجليزي

The higher?order regular Lagrangian is reduced to rst?order singular Lagrangian.

Dirac's method of discrete regular systems with higher?order Lagrangian, are studied as singular systems with rst?order Lagrangian, and the equations of motion are obtained.

It is shown that the Hamilton?Jacobi approach leads to the same equations of motion as obtained by Dirac's method.

The second?order and third?order Lagrangian are studied as an examples.

The Hamilton?Jacobi formulation for rst?order constrained systems has been discussed.

In such formalism the equations of motion are written as total di erential equations in many variables.

We generalize the Hamilton?Jacobi formulation for singular systems with second?order Lagrangians and apply this new formulation to Podolsky electrodynamics, comparing the results with the results obtained through Dirac's method.

The equations of motion for the associated Lagrangian to a nonholonomic Lagrangian of second?order are computed in both methods Dirac and Hamilton?Jacobi.

Besides, the canonical path integral quantization was obtained to quantize singular systems.

All the results obtained using Hamilton?Jacobi method, are in exact agreement with those results obtained using Dirac's method

التخصصات الرئيسية

الفيزياء

عدد الصفحات

60

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-615631