# Demonstrate that the operator $Theta=i sigma_{2} mathscr{K}$ defined in Box 29.1 meets all the criteria given there

## Question:

Demonstrate that the operator $\Theta=i \sigma_{2} \mathscr{K}$ defined in Box 29.1 meets all the criteria given there for a fermion time-reversal operator: it preserves the norm of a wavefunction, is antilinear, and satisfies $\Theta^{2}=-1$.

**Data from Box 29.1**

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**Related Book For**

## Symmetry Broken Symmetry And Topology In Modern Physics A First Course

**ISBN:** 9781316518618

1st Edition

**Authors:** Mike Guidry, Yang Sun