Studies in Spectral Geometry
Abstract
This paper studies a self-adjoint Schrödinger operator on the three-dimensional sphere with a potential constructed from prime numbers. The spectral properties are analyzed in detail, revealing connections between the eigenvalue distribution and arithmetic functions.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Analytic Number Theory Research
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN
- Document type
- Preprint