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虚数j的物理意义
2022-07-07 07:20:00 【布衣书生-Python】
虚数 j j j 是高中解一元三次方程组时,为了给 j j j 的平方等于 − 1 -1 −1 一个解而引入的,但 j j j 的意义
到底是什么压根没有说清楚。
虚数 j j j 的物理意义:一个复数
与 j j j 相乘就相当于这个复数对应的向量在复平面
上逆时针旋转
90 ˚ 90˚ 90˚。搞清楚这一点后, j 2 = − 1 j^ 2 =-1 j2=−1就很好解释了,如图所示:
j 2 = 1 ∗ j ∗ j j^2=1*j*j j2=1∗j∗j
也就是 1 + 0 j 1+0j 1+0j这个复平面的向量,逆时针旋转两次,也就是 1 ∗ j ∗ j 1*j*j 1∗j∗j,所以结果为 − 1 -1 −1
一句话总结就是:复平面的向量逆时针旋转$90^o$
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