91影视

The Uncertainty principle states that the momentum and position of a particular particle cannot be measured with great accuracy. In general, it explains that uncertainty will be there in measuring a particular variable for a specific particle.

Write the expression for the sum of the square of the components.

$L_x^2+L_y^2+L_z^2={\left|\text{L}\right|}^2$

Here, ${\left|\text{L}\right|}^{}$ is the magnitude of angular momentum vector, L_X is the x-component of angular momentum vector, L_Y is the y-component of angular momentum vector, and L_Zis the z-component of angular momentum vector.

It is known that L_Z can be known with certainty, by the equation:$L_Z=m_l\mathrm{鈩�}$ , and is also quantized and can be calculated by the following equation.

$L=\sqrt{l(l+1)}\mathrm{鈩�}$

Here, is the Plank鈥檚 Constant, and is the azimuthal quantum number

So, does not commute withL_X or L_Y . Hence, if relation is$L_x^2+L_y^2+L_z^2={\left|\text{L}\right|}^2$ being used to calculate the value of L_X and , L_Y then it will be uncertain.

Thus, only the magnitude of L and the z-component of L can be found accurately.