We find an analytical expression of neutrino oscillation in the earth matter medium. We give analytical expresssion for the energy eigenvalue and CP violating phase in matter for three generations of neutrinos using the Fritzsch parametrigation for the flavor mixing matrix.We also study how the earth matter effects can change the CP violating phase. We find that the matter effects is negligibles in normal and inverted neutrino spectrum.We find that CP violating phase is invariant in matter medium.

中文翻译：

---

使用 Fritzsch 参数化的三代中微子物质中的 CP 违反相位

我们找到了地球物质介质中中微子振荡的解析表达式。我们使用Fritzsch参量法对风味混合矩阵给出了三代中微子的能量特征值和CP违反相的解析表达式。我们还研究了地球物质效应如何改变CP违反相。我们发现在正常和反相中微子谱中物质效应可以忽略不计。我们发现CP违反相在物质介质中是不变的。