Lorentz-Invariant Hamiltonian and Riemann Hypothesis

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.

13 pages, TEX

References in corpus (1)

• Some Studies on Arithmetical Chaos in Classical and Quantum Mechanics

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