dorsal/arxiv
View SchemaLorentz-Invariant Hamiltonian and Riemann Hypothesis
| Authors | Susumu Okubo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707036 |
| URL | https://arxiv.org/abs/quant-ph/9707036 |
| DOI | 10.1088/0305-4470/31/3/015 |
| Journal | J.Phys.A31:1049-1057,1998 |
Abstract
We have given some arguments that a two-dimensional Lorentz-invariant Hamiltonian may be relevant to the Riemann hypothesis concerning zero points of the Riemann zeta function. Some eigenfunction of the Hamiltonian corresponding to infinite-dimensional representation of the Lorentz group have many interesting properties. Especially, a relationship exists between the zero zeta function condition and the absence of trivial representations in the wave function.
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"abstract": "We have given some arguments that a two-dimensional Lorentz-invariant\nHamiltonian may be relevant to the Riemann hypothesis concerning zero points of\nthe Riemann zeta function. Some eigenfunction of the Hamiltonian corresponding\nto infinite-dimensional representation of the Lorentz group have many\ninteresting properties. Especially, a relationship exists between the zero zeta\nfunction condition and the absence of trivial representations in the wave\nfunction.",
"arxiv_id": "quant-ph/9707036",
"authors": [
"Susumu Okubo"
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"doi": "10.1088/0305-4470/31/3/015",
"journal_ref": "J.Phys.A31:1049-1057,1998",
"title": "Lorentz-Invariant Hamiltonian and Riemann Hypothesis",
"url": "https://arxiv.org/abs/quant-ph/9707036"
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