THE CONVOLUTION LAW AND THE DIMENSIONALITY OF THE DENSITY OF STATES
态密度的卷积律及维度性

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.