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Angular Momentum in Quantum Mechanics: Spin Indepth » Quantum_projection_of_S_onto_z_for_spin_half_particles

Visualization of a fermion's spin angular momentum in the "spin-up" and "spin-down" orientations along the z-axis.  Notice how the vector sweeps out a circle in the xy-plane.  This causes the x & y components of the spin-angular momentum to be smeared all along this circle

Visualization of a fermion’s spin angular momentum in the “spin-up” and “spin-down” orientations along the z-axis. Notice how the vector sweeps out a circle in the xy-plane. This causes the x & y components of the spin-angular momentum to be smeared all along this circle

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