Principles of Quantum Mechanics · Problem 14.5.4

Addition of Angular Momenta — R. Shankar

Physics — Quantum Mechanics · stern-gerlach-spin-one

Problem

A beam of spin-1 particles, moving along the

y

axis, is incident on two collinear SG apparatuses, the first with

\mathbf{B}

along the

z

axis and the second with

\mathbf{B}

along the

z'

axis, which lies in the

x

z

plane at an angle

\theta

relative to the

z

axis. Both apparatuses transmit only the uppermost beams. What fraction leaving the first will pass the second?