A spin one-half particle is prepared in the real spinor
PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Symmetry, angular momentum and spin · Symmetry, angular momentum and spin
Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch Spin one-half, the Pauli matrices and two-level systems
Problem
A spin one-half particle is prepared in the real spinor χ=(4/53/5). Find the angle θ in the xz plane, measured from z, such that this state reads spin up with certainty along the axis at that angle, and confirm that the probability of reading Sz=+ℏ/2 on this state matches what cos2(θ/2) predicts.