Open AccessTHE CONVOLUTION LAW AND THE DIMENSIONALITY OF THE DENSITY OF STATES
Author(s) -
Zhao Bao-hua,
ZHENG ZHAO-BO,
()东北工学院物理系; ()中国科学技术大学物理系
Publication year - 1987
Publication title -
acta physica sinica
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 , machine learning , artificial neural network
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.
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