Comment on fractality of quantum mechanical energy spectra
| dc.creator | Gorski, Andrzej Z. | |
| dc.date | 1998-04-21 | |
| dc.date.accessioned | 2026-07-07T02:35:25Z | |
| dc.date.available | 2026-07-07T02:35:25Z | |
| dc.description | The fractal properties of the energy spectra of quantum systems are discussed in connection with the paper by Sáiz and Martínez [Phys. Rev. E 54, 2431 (1996)]. It is shown that for discrete energy levels the Hausdorff--Basicovitch dimension is zero and differs from the Renyi scaling exponents computed by the standard box counting algorithm. The Renyi exponents for the inverse power series data sets (x_n = 1/n^a, n=1,2,...) are computed analytically and they are shown to be d_0 = 1/(1+a) and, as a consequence, d_0 = 1/3 for the Balmer formula. | |
| dc.description | 2 pages, LaTeX+RevTeX 3.1 | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9804034 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9804034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15606 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Comment on fractality of quantum mechanical energy spectra | |
| dc.type | text |