Ah I see. I went off initial simplification, not realizing that they are the same.Shyan said:Be careful, what you wrote is ## \sqrt{\frac 3 4 }\hbar ## and what the wiki page wrote is ## \frac{\sqrt 3}{2} \hbar ##. They're the same!
"Spin 1/2" refers to the intrinsic angular momentum of a particle. It is a quantum mechanical property that cannot be visualized in classical terms. It can take on two possible values: +1/2 or -1/2.
The correct value for spin 1/2 is √¾ħ. This is known as the spin quantum number and is a fundamental constant in quantum mechanics.
The √¾ħ value represents the maximum component of angular momentum that can be measured for a particle with spin 1/2. It is a fundamental constant that helps to describe the behavior of quantum systems.
The spin of an electron is a specific example of spin 1/2. It is a fundamental property of electrons that plays a crucial role in their behavior and interactions with other particles.
Spin 1/2 is important in quantum mechanics because it is a fundamental property of all particles, including electrons, protons, and neutrons. It plays a crucial role in determining the behavior and interactions of these particles, and it is used to classify and describe various quantum states and systems.