91影视

The given data can be listed below,

The spherical polar coordinate of the momentum is,$\mathrm{鈩�}\left(\frac{鈭�}{鈭�蠒}\right)$

An eigenvector is a vector to which a linear operator applies, and the particular multiple is known as the eigenvalue. Everything else that is referred to be an Eigen is one of its eigenvalue or eigenvector, depending on the linear operator.

If the operator acting on the function is a constant multiplied by the same value. As an Eigen function of the operator is given by,

$\hat{Q}f\left(x\right)=位f\left(x\right)$

Here, $\hat{Q}$ is the operator for momentum, $位$ is the Eigen value of the operator.

Substitute all the values in the above,

$$\begin{gathered} -i\left(\frac{\mathrm{鈩�}}{2位}\right)\frac{鈭�}{鈭�蠒}f\left(蠒\right)=cf\left(蠒\right) \\ \left(\frac{鈭�}{鈭�蠒}\right)f\left(蠒\right)=\frac{2位c}{-i\mathrm{鈩�}}f\left(蠒\right) \\ f\left(蠒\right)=\exp i\left(\frac{2位c}{\mathrm{鈩�}}\right)蠒 \end{gathered}$$

Thus, the z-component of the general function's angular momentum is well defined is $\exp i\left(\frac{2位c}{\mathrm{鈩�}}\right)蠒$.