JOURNAL ARTICLE

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

  • Published In: Modern Physics Letters A, 2024, v. 39, n. 33/34. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Haouam, Ilyas 3 of 3

Abstract

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Modern Physics Letters A. 2024/11, Vol. 39, Issue 33/34, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2024
  • ISSN:0217-7323
  • DOI:10.1142/S0217732324501554
  • Accession Number:181201944
  • Copyright Statement:Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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