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Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian

Bender, Carl M and Brody, Dorje Corje (2018) Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian Journal of Physics A: Mathematical and Theoretical, 51 (13).

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Bender, Carl M
Brody, Dorje Corjed.brody@surrey.ac.uk
Date : 5 March 2018
DOI : 10.1088/1751-8121/aab068
Depositing User : Claudio Svaluto
Date Deposited : 11 Oct 2018 09:19
Last Modified : 11 Oct 2018 09:19
URI: http://epubs.surrey.ac.uk/id/eprint/849310

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