The discussion centers on the calculation of the spin value for a spin 1/2 particle, specifically addressing the expression for the magnitude of the spin angular momentum. The Wikipedia article states that the correct expression is √(3/2)ħ, while the user initially calculated it as √(3/4)ħ. Upon further examination, it was confirmed that both expressions are equivalent, as √(3/4)ħ simplifies to √(3)/2ħ. This highlights the importance of careful simplification in quantum mechanics calculations.
PREREQUISITESStudents of quantum mechanics, physicists working with angular momentum, and anyone interested in the mathematical foundations of spin theory.
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!