Solving the fractional quantum harmonic oscillator using Dirac method

مقدم أطروحة جامعية

Shawaqifah, Shirin A.

مشرف أطروحة جامعية

Chair, Nur al-Din

أعضاء اللجنة

al-Nasir, Husam
al-Sarhan, Muhammad
Khulayfah, Jamil

الجامعة

جامعة آل البيت

الكلية

كلية العلوم

القسم الأكاديمي

قسم الفيزياء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2006

الملخص الإنجليزي

The general ground fractional wave function of the time-independent Quantum harmonic oscillator in one dimension is derived using Dirac method (algebraic method), and the relation between the fractional and the standard ground wave function is discussed. A fractional operator is introduced as a general form of the standard operators.

The relationships between the fractional and the standard operators (number operator, creation-annihilation operators) are discussed.

The fractional states are built. Finally, some examples (special cases) have been summarized for different values of a (the derivation order) and p \ where 1 ~* a - 2 and ~* P ~, and calculated the difference in the energy between the fractional states.

التخصصات الرئيسية

الفيزياء

عدد الصفحات

43

قائمة المحتويات

Table of contents.

Abstract.

Chapter One : introduction.

Chapter Two : literature review.

Chapter Three : the harmonic oscillator.

Chapter Four : the fractional wave Eigen-function.

Chapter Five : some results and discussion.

Conclusion.

References.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Shawaqifah, Shirin A.. (2006). Solving the fractional quantum harmonic oscillator using Dirac method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-310865

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Shawaqifah, Shirin A.. Solving the fractional quantum harmonic oscillator using Dirac method. (Master's theses Theses and Dissertations Master). Al albayt University. (2006).
https://search.emarefa.net/detail/BIM-310865

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Shawaqifah, Shirin A.. (2006). Solving the fractional quantum harmonic oscillator using Dirac method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-310865

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-310865