Work

Hamiltonian with energy levels corresponding to Riemann zeros

Year: 2025

Type: article

Abstract: 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.

Source: Physical Review A

DOI: 10.1103/n9ch-xhw6

Author: Xingpao Suo

Institutions: Zhaotong University, Zhejiang University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G3008832492, G6165960106