JOURNAL ARTICLE

Geometric potential of surfaces with physical applications in Euclidean spaces.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2025, v. 22, n. 9. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Sokur, Betül Bulca 3 of 3

Abstract

In this study, we considered skew curvatures of the surfaces to generate their geometric potentials. The method depends essentially on the mean and Gaussian curvatures and their principal curvatures. In quantum mechanics in the study of the dynamics of massive particle with mass m constrained to move on a surface. In such a case, the difference function of the squared mean curvature with the Gaussian curvature induces a geometric (scalar) potential. This potential appears in the Schröndiger-type equations. Considering the skew curvatures of the rotational surfaces, some results on the meridian curves are obtained. Furthermore, the geometric potentials of level surfaces and generalized helicoidal surfaces are calculated. Finally, we discuss the some applications of these types of surfaces in quantum mechanics. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2025/08, Vol. 22, Issue 9, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2025
  • ISSN:0219-8878
  • DOI:10.1142/S0219887825500653
  • Accession Number:186392813
  • 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.)

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