Open AccessTHE CONVOLUTION LAW AND THE DIMENSIONALITY OF THE DENSITY OF STATES
Author(s) -
Zhao Bao-Hua,
Zheng Zhao-Bo
Publication year - 1987
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.36.1459
Subject(s) - curse of dimensionality , dimension (graph theory) , convolution (computer science) , statistical physics , density of states , physics , theoretical physics , condensed matter physics , computer science , mathematics , pure mathematics , statistics , artificial neural network , machine learning
From the basic principles of statistical physics, we have obtained the more general conditions that the convolution law of the density of states of the system and its subsystems or that of the high-dimensional system and low-dimensional system is satisfiled. We also analysed the transition of densities of states from the l-dimension to the 3-dimension in the free electron and tigkt-binding periodic systems.