Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian
Mathematical Physics
2018-04-04 v2 math.MP
Quantum Physics
Abstract
The differential-equation eigenvalue problem associated with a recently-introduced Hamiltonian, whose eigenvalues correspond to the zeros of the Riemann zeta function, is analyzed using Fourier and WKB analysis. The Fourier analysis leads to a challenging open problem concerning the formulation of the eigenvalue problem in the momentum space. The WKB analysis gives the exact asymptotic behavior of the eigenfunction.
Keywords
Cite
@article{arxiv.1710.04411,
title = {Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian},
author = {Carl M. Bender and Dorje C. Brody},
journal= {arXiv preprint arXiv:1710.04411},
year = {2018}
}