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Symmetries in particle physics

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<strong>Symmetries</strong><br />

Sp<strong>in</strong>-1/2 systems<br />

Some generalities<br />

Sp<strong>in</strong>-1/2 systems are often studied <strong>in</strong> <strong>physics</strong>.<br />

Example: electron and its sp<strong>in</strong>, isosp<strong>in</strong>, ...<br />

Sp<strong>in</strong>-statistics theorem suggests that such systems<br />

are fermionic <strong>in</strong> nature.<br />

Interest<strong>in</strong>g <strong>in</strong> the context of this lecture:<br />

Basic build<strong>in</strong>g blocks of matter (quarks & leptons)<br />

are sp<strong>in</strong>-1/2.<br />

Simple representation:

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