Fractional Heisenberg equations for scalar Yukawa interaction
Other Title(s)
معادلات هايزنبرغ الكسرية لتفاعل يوكاوا العددي
Author
Source
Mutah Journal of Natural, Applied and Health Sciences
Issue
Vol. 36, Issue 2 (31 Dec. 2021), pp.13-27, 15 p.
Publisher
Mutah University Deanship of Scientific Research
Publication Date
2021-12-31
Country of Publication
Jordan
No. of Pages
15
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
This paper presents fractional Euler-Lagrange equations for scalar fields with Yukawa interaction defined in terms of Caputo fractional derivatives.
By applying the variational principle to a fractional action S, we obtained the fractional Euler-Lagrange equations of motion.
Then we presented Lagrangian and Hamiltonian densities for the fractional scalar fields with interaction of order .
We also provided expressions for fractional Heisenberg equations of motion for scalar fields with Yukawa interaction.
Moreover, the classical results are obtained as a particular case of fractional formulation in the limit .-1
American Psychological Association (APA)
al-Maayitah, Amal Farhan. 2021. Fractional Heisenberg equations for scalar Yukawa interaction. Mutah Journal of Natural, Applied and Health Sciences،Vol. 36, no. 2, pp.13-27.
https://search.emarefa.net/detail/BIM-1306474
Modern Language Association (MLA)
al-Maayitah, Amal Farhan. Fractional Heisenberg equations for scalar Yukawa interaction. Mutah Journal of Natural, Applied and Health Sciences Vol. 36, no. 2 (2021), pp.13-27.
https://search.emarefa.net/detail/BIM-1306474
American Medical Association (AMA)
al-Maayitah, Amal Farhan. Fractional Heisenberg equations for scalar Yukawa interaction. Mutah Journal of Natural, Applied and Health Sciences. 2021. Vol. 36, no. 2, pp.13-27.
https://search.emarefa.net/detail/BIM-1306474
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 26-27
Record ID
BIM-1306474