关键词: 固体物理, 色散关系, 钱德拉塞卡极限

Abstract: Based on the discussion of dispersion relation and density of states in solid state

physics，in this paper，the difference of the dispersion relation of electrons under relativistic and

non-relativistic limit is studied.The difference eventually leads to a distinct final evolution results of supermassive

celestial body. The process of theoretical calculation can be easily correlated to the study of electron behavior in solid state physics. Integrating this mechanism into the education of solid state physics can not only enhance the understanding on the electron be-havior in solid state matter，but also provide a deep insight to the relativistic behavior of electron.

Key words: solid state physics, dispersion relation, Chandrasekhar limit