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Title: Effective fractal dimension of energy levels
Authors: Wang, W.F.
Ong, P.P. 
Issue Date: 1997
Citation: Wang, W.F.,Ong, P.P. (1997). Effective fractal dimension of energy levels. Physical Review A - Atomic, Molecular, and Optical Physics 55 (2) : 1522-1525. ScholarBank@NUS Repository.
Abstract: Energy-level systems can be seen as sets of a series of discrete points that exhibit fractal properties. To characterize these fractals, we calculated the effective fractal dimension, which behaves as a function of the measuring scale. The computerized box-counting method was employed to obtain the fractal dimension that is irrelevant to the level number. This feature allows a physically meaningful connection that can be established between the fractal and statistics. The procedure was applied to the Poisson- and Wigner-distributed numbers and to the vibrational levels of SO2.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
Appears in Collections:Staff Publications

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