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advanced_notions:parity [2017/09/10 17:09] jakobadmin created |
advanced_notions:parity [2018/03/30 13:19] (current) jakobadmin [Intuitive] |
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====== Parity ====== | ====== Parity ====== | ||
- | <tabbox Why is it interesting?> | ||
- | <tabbox Layman> | + | <tabbox Intuitive> |
+ | <blockquote>If you take a mirror, and look at a left hand in the mirror, it looks light a right hand. Such a process, which turns something behaving like a left hand into something like a right hand, is called a parity transformation in particle physics. | ||
+ | <cite>http://axelmaas.blogspot.de/2011/11/chiral-or-why-left-and-right-is-not.html</cite></blockquote> | ||
- | <note tip> | + | Acting with a parity transformation on a system simply means that we create a mirrored copy of it. Another name for a parity transformation is spatial inversions. |
- | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
- | </note> | + | So parity symmetry means mirror symmetry. |
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- | <tabbox Student> | + | <tabbox Concrete> |
- | <note tip> | + | Explicitly, the parity operator acting on four-vectors is given by |
- | In this section things should be explained by analogy and with pictures and, if necessary, some formulas. | + | |
- | </note> | + | \begin{equation} \label{eq:pardef3d} \Lambda_P = \begin{pmatrix} |
- | + | 1& 0 & 0 & 0 \\ 0&-1 & 0 & 0\\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 | |
- | <tabbox Researcher> | + | \end{pmatrix} \end{equation} |
+ | |||
+ | This matrix flips all spatial coordinates and keeps the time coordinate unchanged. | ||
+ | <tabbox Abstract> | ||
<note tip> | <note tip> | ||
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</note> | </note> | ||
- | --> Common Question 1# | + | <tabbox Why is it interesting?> |
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- | <-- | + | |
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- | --> Common Question 2# | + | |
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- | <-- | + | |
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- | <tabbox Examples> | + | |
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- | --> Example1# | + | |
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- | <-- | + | |
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- | --> Example2:# | + | |
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- | <-- | ||
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<tabbox History> | <tabbox History> |