Regular fractal Dirac systems
International Journal of Geometric Methods in Modern Physics, vol.22, no.12, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 12
- Publication Date: 2025
- Doi Number: 10.1142/s0219887825500951
- Journal Name: International Journal of Geometric Methods in Modern Physics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
- Keywords: Dirac operator, Fractals, fractional differential equations
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
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.