It is proved that the volume of Brillouin zone and that of the reciprocal lattice primitive cell are equal for BCC lattice and FCC lattice in three dimensions by a simple mathematical method.
用简单数学方法就体心立方晶格和面心立方晶格证明了三维情况下布里渊区体积等于倒格子原胞体积。
2
In this paper, we formulated some discrete integrable systems and gave the corresponding lattice equations in 1 + 1, 2 + 1 dimensions and associated Hamilton structure by means of the trace identity.