I think you are talking abput L_z, and not L^2.ad6190 said:How to prove when electron spin is perpendicular to linear momentum, orbital angular momentum can't be 0.
And when they are paralleled, orbital angular momentum is 0.
Thanks.
Spin is a type of intrinsic angular momentum that is possessed by particles. Unlike other types of momentum, such as linear momentum and orbital angular momentum, spin does not involve any actual physical movement or motion. Instead, it is an inherent property of particles that determines their orientation and behavior.
Linear momentum is a measure of a particle's motion in a straight line, while orbital angular momentum is a measure of a particle's motion in a circular or elliptical path around a central point. In other words, linear momentum describes the particle's movement through space, while orbital angular momentum describes its rotation around a fixed axis.
Spin is related to linear momentum and orbital angular momentum in that it is a component of the total angular momentum of a particle. The total angular momentum is the sum of the three types of momentum, and it describes the particle's overall rotational motion. Spin contributes to the overall angular momentum, but it is distinct from the other types of momentum.
All particles have spin, but the amount of spin can differ between particles. For example, particles that make up matter, such as electrons, protons, and neutrons, all have a spin of ½, while photons, which are particles of light, have a spin of 1. Some particles, such as the Higgs boson, have no spin at all.
Spin, linear momentum, and orbital angular momentum can all be measured using various experimental techniques. For example, the spin of a particle can be measured using a device called a Stern-Gerlach apparatus, which applies a magnetic field to the particle and measures the deflection of its path. Linear momentum can be measured by observing the change in position of a particle over time, while orbital angular momentum can be measured by observing the rotation of a particle around a central point.