An electron's spin state is

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

\chi = \dfrac{1}{\sqrt{13}}\begin{pmatrix}2\\ 3i\end{pmatrix}

. Find the probability of each outcome of a measurement of

S_z

, and check they add to one.