Regular fractal Dirac systems
In this paper, the classical one-dimensional Dirac equation is considered under the framework of fractal calculus. First, the maximal and minimal operators corresponding to the problem are defined. Then the symmetric operator is obtained, the Green’s function corresponding to the problem is constructed, and the eigenfunction expansion is given. Finally, some examples are given.
Authors
- Hüseyin Tuna (ORCID: https://orcid.org/0000-0001-7240-8687)
- Alireza Khalili Golmankhaneh (ORCID: https://orcid.org/0000-0002-5008-0163)
- Bilender P. Allahverdiev (ORCID: https://orcid.org/0000-0002-9315-4652)
Institutions
- Khazar University (AZ)
- Van Yüzüncü Yıl Üniversitesi (TR)
- Azerbaijan State University of Economics (AZ)
- Islamic Azad University of Urmia (IR)
- Burdur Mehmet Akif Ersoy Üniversitesi (TR)
Publication Details
- Journal
- International Journal of Geometric Methods in Modern Physics
- Published
- 2024-12-19
- DOI
- https://doi.org/10.1142/s0219887825500951
- Citations
- 3
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 2.67