# 问题：

Prove that two eigenvectors of a Hermitian operator with different eigenvalues are necessarily orthogonal.

## 解答

$A|v_{1}\rangle=\lambda_{1}|v_{1}\rangle$，$A|v_{2}\rangle=\lambda_{2}|v_{2}\rangle$.

#### 参考

[1]www.qtumist.com