Phys. Rev. E 51, 6323–6326 (1995)Fractal potentials from energy levelsReceived 1 March 1994; published in the issue dated June 1995 We analyze the reconstruction by Wu and Sprung [Phys. Rev. E 48, 2595 (1993)] of a fractal one-dimensional potential, the quantum spectrum of which reproduces the first 500 nontrivial zeros of the Riemann ζ function. Our construction is based on a spectrum with Gaussian unitary ensemble statistics as far as the nearest-neighbor spacing distribution is concerned. Our results show that a reliable estimate of the fractal dimension of the potential necessitates a very large number of levels. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.51.6323
DOI:
10.1103/PhysRevE.51.6323
PACS:
05.40.+j
See AlsoOriginal Article: Hua Wu and D. W. Sprung, Riemann zeros and a fractal potential, Phys. Rev. E 48, 2595 (1993). |
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