Principles of Quantum Mechanics · Problem 14.3.8

Spin — R. Shankar

Physics — Quantum Mechanics · commuting-anticommuting-pauli

Problem

(1) Show that any matrix that commutes with

\boldsymbol{\sigma}

is a multiple of the unit matrix. (2) Show that we cannot find a matrix that anticommutes with all three Pauli matrices. (If such a matrix exists, it must equal zero.)

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