Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comment on fractality of quantum mechanical energy spectra   The fractal properties of the energy spectra of quantum systems are discussed
in connection with the paper by S\'aiz and Mart\'inez [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.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex