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.

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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

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article

Hamiltonian with energy levels corresponding to Riemann zeros

Karl J. Friston
Physical review. A/Physical review, A
Spectral Theory in Mathematical Physics
article

Hamiltonian with energy levels corresponding to Riemann zeros

Karl J. Friston
article en

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.

Physical review. A/Physical review, AVol. 112(6)
Zhaotong University (CN), Zhejiang University (CN)
National Key Research and Development Program of China
Openalex Percentile: Top 56%
Spectral Theory in Mathematical Physics
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Hamiltonian with energy levels corresponding to Riemann zeros — Karl J. Friston · Physical review. A/Physical review, A (2025) | TGRS Research Map | TGRS