Solution of dynamic matrix equation of phonon dispersion relations in one-dimensional to three-dimensional lattice
In this paper,the phonon dispersion relation of lattice vibrations from one-dimension to three-dimen-sion is solved by constructing dynamic matrix equation.Compared to traditional method of solving one-dimensional atomic chain classical model using Hamilton's canonical equations in solid state physics courses,constructing a dy-namic matrix provides a more unified and universal form for solving phonon dispersion relation from one-dimensional to three-dimensional lattice.It is helpful to establish a continuous physical picture of one-dimensional to three-di-mensional lattice vibration from the way of thinking.In terms of numerically solving three-dimensional lattice vibra-tions and considering the effects of anharmonicity,this method also offers greater convenience.
万方数据
维普
