Lorentz-Invariant Hamiltonian and Riemann Hypothesis

Details Lorentz-Invariant Hamiltonian and Riemann Hypothesis Lorentz-Invariant Hamiltonian and Riemann Hypothesis

1997-07-17

arxiv.org/abs/quant-ph/9707036v1

J.Phys.A31:1049-1057,1998

Physics

Quantum Physics

13 pages, TEX

Scientific paper

10.1088/0305-4470/31/3/015

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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