Proca equations of a massive vector boson field in fractional form

Other Title(s)

معادلات مجال بروكا الكتلي بالصيغ الكسرية

Author

Jaradat, Imad Khalid Yusuf

Source

Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series

Issue

Vol. 26, Issue 2 (30 Sep. 2011), pp.69-80, 12 p.

Publisher

Mutah University Deanship of Academic Research

Publication Date

2011-09-30

Country of Publication

Jordan

No. of Pages

12

Main Subjects

Physics

Abstract AR

اكتسبت مبادئ التغيير الكسري أهمية كبيرة خلال العقد الماضي نتيجة لتطبيقاتها المختلفة في مجالات عديدة من العلوم و الهندسة.

في هذه الدراسة، يتم الحصول على معادلات أويلر لاغرانج، الكسرية و معادلات هاميلتون الكسرية الناتجة عن مجال Proca و ذلك باستخدام تعريف ريمان-ليوفيل.

و قمنا بمقارنة المعادلات التي حصلنا عليها مع معادلات الحركة الناتجة عن حسبان التفاضل العادي كما حصلنا على معادلات ماكسويل بإزالة الحد الذي يحتوي على الكتلة.

Abstract EN

Fractional variational principles have gained considerable importance during the last decade due to their various applications in several areas of science and engineering.

In this study, the fractional Euler–Lagrange equations and Hamiltonian equations corresponding to a fractional Proca (massive vector boson) field are obtained.

These equations are obtained using the traditional method of calculus of variations adapted to the case of fractional space (Agrawal procedure).

American Psychological Association (APA)

Jaradat, Imad Khalid Yusuf. 2011. Proca equations of a massive vector boson field in fractional form. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 26, no. 2, pp.69-80.
https://search.emarefa.net/detail/BIM-320994

Modern Language Association (MLA)

Jaradat, Imad Khalid Yusuf. Proca equations of a massive vector boson field in fractional form. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 26, no. 2 (2011), pp.69-80.
https://search.emarefa.net/detail/BIM-320994

American Medical Association (AMA)

Jaradat, Imad Khalid Yusuf. Proca equations of a massive vector boson field in fractional form. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2011. Vol. 26, no. 2, pp.69-80.
https://search.emarefa.net/detail/BIM-320994

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 78-80

Record ID

BIM-320994