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Lorentz-Invariant Hamiltonian and Riemann Hypothesis

Susumu Okubo
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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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Susumu Okubo. 1997-07-17. Lorentz-Invariant Hamiltonian and Riemann Hypothesis. https://doi.org/10.1088/0305-4470/31/3/015

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