A pseudo-unitary ensemble of random matrices, PT-symmetry and the Riemann Hypothesis

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dc.creatorAhmed, Zafar
dc.creatorJain, Sudhir R.
dc.date2004-07-21
dc.date.accessioned2026-07-07T06:10:23Z
dc.date.available2026-07-07T06:10:23Z
dc.descriptionAn ensemble of 2 x 2 pseudo-Hermitian random matrices is constructed that possesses real eigenvalues with level-spacing distribution exactly as for the Gaussian Unitary Ensemble found by Wigner. By a re-interpretation of Connes' spectral interpretation of the zeros of the Riemann zeta function, we propose to enlarge the scope of search of the Hamiltonian connected with the celebrated Riemann Hypothesis by suggesting that the Hamiltonian could also be PT-symmetric (or pseudo-Hermitian).
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0407167
dc.identifierhttp://arxiv.org/abs/quant-ph/0407167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92244
dc.subjectQuantum Physics
dc.titleA pseudo-unitary ensemble of random matrices, PT-symmetry and the Riemann Hypothesis
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