Exact Localized Solutions Of The Nonlinear Dirac Equation

الموضوعات

علوم بحتة وطبيعية

الملخص

The nonlinear Dirac equation is a relativistic classical field theory that describes the behavior of a system of self-interacting spinor fields. According to this theory, the interactions among spinor fields are represented by additional Kerr-nonlinearity added to the Dirac equation, which justifies and models the noticed solitonic behavior of the systems. There are various models of the nonlinear Dirac equation which differ from each other in the factors taken into account in the modelling, especially the mode of the coupling among the spinor fields as well as the nature of the system represented by the model. In this present thesis, a special form of the nonlinear Dirac equation (NLDE) is considered, namely, the massive Thirring model (MTM) in (1+1)-dimensions, which models the vector-vector coupling mode of interactions among spinor fields in condensed matter. Here, exact localized stationary solutions are obtained using analytical methods. The physical properties of MTM and the corresponding conserved physical quantities are discussed through developing the continuity equation of the current density together with evaluating explicitly the elements of the energy-momentum tensor, which are then used to calculate some properties like charge and energy of the fields. Also, the same analytical methods are used to find stationary exact solutions of another model of NLDE, the Gross-Neveu model, which is of interest in high-energy physics

روابط وملفات

التعريف والنوع

رقم الوثيقة

f5a13e2d-1709-4696-984f-42007475f313

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

7466_1.pdf

بيانات النشر

ترجمة العنوان

الحلول المحددة التامة لمعادلة ديراك غير الخطية

ألقاب المؤلفين

[{"name_ar":"أحمد مراد ","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"ياسر حسن صباح ","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Exact Localized Solutions Of The Nonlinear Dirac Equation

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

أحمد مراد

الإعداد

ياسر حسن صباح

الاقتباسات الببليوغرافية