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I was looking at the wikipedia article for spin 1/2 http://en.wikipedia.org/wiki/Spin-½ and it stated that √(½(½+1))ħ=√3/2ħ. According to my math it is √¾ħ. Is this just a typo or am I missing something?

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In summary, "spin 1/2" refers to the intrinsic angular momentum of a particle, with two possible values of +1/2 or -1/2. The correct value for spin 1/2 is √¾ħ, which represents the maximum component of angular momentum that can be measured for a particle. This value is important in quantum mechanics as it is a fundamental constant that describes the behavior of quantum systems. Spin 1/2 is also crucial in determining the behavior and interactions of particles such as electrons, protons, and neutrons, making it an important concept in quantum mechanics.

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I was looking at the wikipedia article for spin 1/2 http://en.wikipedia.org/wiki/Spin-½ and it stated that √(½(½+1))ħ=√3/2ħ. According to my math it is √¾ħ. Is this just a typo or am I missing something?

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ShayanJ

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Ah I see. I went off initial simplification, not realizing that they are the same.Shyan said:

"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.

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