Vertauschungsrelationen: Difference between revisions
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*>SchuBot Einrückungen Mathematik |
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vergleich mit [[fundamentale Poissionklammern]] | vergleich mit [[fundamentale Poissionklammern]] | ||
<math>\left\{ {{q}_{k}},{{p}_{l}} \right\}={{\delta }_{kl}}</math> | :<math>\left\{ {{q}_{k}},{{p}_{l}} \right\}={{\delta }_{kl}}</math> | ||
<math>\left\{ {{q}_{k}},{{q}_{l}} \right\}=\left\{ {{p}_{k}},{{p}_{l}} \right\}=0</math> | :<math>\left\{ {{q}_{k}},{{q}_{l}} \right\}=\left\{ {{p}_{k}},{{p}_{l}} \right\}=0</math> | ||
wird zu | wird zu | ||
<math>\begin{align} | :<math>\begin{align} | ||
& \left[ {{q}_{k}},{{p}_{l}} \right]=\mathfrak{i} \hbar {{\delta }_{kl}} \\ | & \left[ {{q}_{k}},{{p}_{l}} \right]=\mathfrak{i} \hbar {{\delta }_{kl}} \\ | ||
& \left[ {{q}_{k}},{{q}_{l}} \right]=\left[ {{p}_{k}},{{p}_{l}} \right]=0 | & \left[ {{q}_{k}},{{q}_{l}} \right]=\left[ {{p}_{k}},{{p}_{l}} \right]=0 | ||
![{\displaystyle {\begin{aligned}&\left[{{q}_{k}},{{p}_{l}}\right]={\mathfrak {i}}\hbar {{\delta }_{kl}}\\&\left[{{q}_{k}},{{q}_{l}}\right]=\left[{{p}_{k}},{{p}_{l}}\right]=0\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7c0acc7bfda6bbffd2f89f56d2c7147edd5fa80b)