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Comment on 'Comment on "Hamiltonian for the zeros of the Riemann zeta function" '

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arxiv 1705.06767 v1 pith:ZE4FHW7Y submitted 2017-05-18 quant-ph math-phmath.MPmath.NT

Carl M. Bender , Dorje C. Brody , Markus P. Müller This is my paper · ORCID
classification quant-phmath-phmath.MPmath.NT
keywords commentaffectalreadyarxivbeenbellissardconclusionsdiscussed
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This paper is in response to a recent comment by Bellissard [arXiv:1704.02644] on the paper [Phys. Rev. Lett. 118, 130201 (2017)]. It is explained that the issues raised in the comment have already been discussed in the paper and do not affect the conclusions of the paper.

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  1. Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates

    math-ph 2026-07 accept novelty 6.0 of 10

    In the L^2-based metric completion induced by the BBM candidate metric, the BBM eigenfunctions are absent and the free transported Hamiltonian is the dilation generator with purely absolutely continuous spectrum.

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