Noether’s currents for conformable fractional scalar field theories

Anagonou, Jean-Paul; Lahoche, Vincent; Ousmane Samary, Dine

doi:10.1016/j.chaos.2024.114919

Chaos, Solitons & Fractals

2024

DOI: 10.1016/j.chaos.2024.114919

|View full text |Cite

Noether’s currents for conformable fractional scalar field theories

Jean-Paul Anagonou,

Vincent Lahoche,

Dine Ousmane Samary

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Foldy–Wouthuysen transformation of Dirac equation in the context of conformable fractional derivative

Haouam

2024

Mod. Phys. Lett. A

View full text Add to dashboard Cite

In this paper, we investigate the non-relativistic limit of the Dirac equation for relativistic spin-1/2 particles within the framework of the conformable fractional derivative (CFD) using the Foldy–Wouthuysen (FW) transformation. This approach leads to the derivation of a conformable fractional Schrödinger–Pauli equation. We propose and employ a conformable fractional version of the FW transformation, thoroughly examining its efficacy and behavior in the non-relativistic limit. Additionally, based on perturbation theory, we compute the energy shifts within the context of CFD and derive a conformable fractional fine structure of the hydrogen spectrum.

show abstract

Foldy–Wouthuysen transformation of Dirac equation in the context of conformable fractional derivative

Haouam

2024

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Noether’s currents for conformable fractional scalar field theories

Cited by 1 publication

References 18 publications

Foldy–Wouthuysen transformation of Dirac equation in the context of conformable fractional derivative

Foldy–Wouthuysen transformation of Dirac equation in the context of conformable fractional derivative

Contact Info

Product

Resources

About