Principles of Quantum Mechanics · Problem 14.3.4

Spin — R. Shankar

Physics — Quantum Mechanics · pauli-identity-derivation

Problem

Derive Eq. (14.3.39) in two different ways. (1) Write

\sigma_i \sigma_j

in terms of

[\sigma_i, \sigma_j]_+

and

[\sigma_i, \sigma_j]

. (2) Use Eqs. (14.3.42) and (14.3.43).