Hamiltonian with energy levels corresponding to Riemann zeros
The authors construct a two-dimensional quantum Hamiltonian describing a free particle with position-dependent mass, such that, under suitable boundary conditions, its energy eigenvalues are in one-to-one correspondence with the nontrivial zeros of the Riemann zeta function.
Authors
- Karl J. Friston
Institutions
- Zhaotong University (CN)
- Zhejiang University (CN)
Publication Details
- Journal
- Physical review. A/Physical review, A
- Published
- 2025-11-25
- DOI
- https://doi.org/10.1103/n9ch-xhw6
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Key Research and Development Program of China