JOURNAL ARTICLE

Deriving the generalized momentum operators from covariant derivatives.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2023, v. 20, n. 13. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Matehkolaee, Mehdi Jafari 3 of 3

Abstract

The generalized momentum operators are derived in the framework of non-relativistic quantum mechanics, taking into account an especial assumption on the covariant derivative. According to this assumption, a scalar density doesn't change under the action of covariant derivative. The Hermitian form of the covariant derivative is discussed. It is shown that, with the help of the adjoint of covariant derivatives, generalized momentum operators can be derived. The inverse of covariant derivative is calculated. It is shown that the inverse of generalized momentum operators can be deduced from the inverse of covariant derivatives. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2023/11, Vol. 20, Issue 13, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2023
  • ISSN:0219-8878
  • DOI:10.1142/S0219887823502316
  • Accession Number:173113551
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics 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.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.