Poissonklammer: Difference between revisions
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Die Seite wurde neu angelegt: „ <math>\left\{ f,g \right\}=\sum\limits_{k}{\left( \frac{\partial f}{\partial {{q}_{k}}}\frac{\partial g}{\partial {{p}_{k}}}-\frac{\partial f}{\partial {{p}_{k}}…“ |
*>SchuBot Einrückungen Mathematik |
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<math>\left\{ f,g \right\}=\sum\limits_{k}{\left( \frac{\partial f}{\partial {{q}_{k}}}\frac{\partial g}{\partial {{p}_{k}}}-\frac{\partial f}{\partial {{p}_{k}}}\frac{\partial g}{\partial {{q}_{k}}} \right)}</math> | :<math>\left\{ f,g \right\}=\sum\limits_{k}{\left( \frac{\partial f}{\partial {{q}_{k}}}\frac{\partial g}{\partial {{p}_{k}}}-\frac{\partial f}{\partial {{p}_{k}}}\frac{\partial g}{\partial {{q}_{k}}} \right)}</math> | ||
==invarianz== | ==invarianz== | ||
<math>{{\left\{ f,g \right\}}_{q,p}}={{\left\{ f,g \right\}}_{Q,P}}=\left\{ f,g \right\}</math> | :<math>{{\left\{ f,g \right\}}_{q,p}}={{\left\{ f,g \right\}}_{Q,P}}=\left\{ f,g \right\}</math> | ||
==fundamentale== | ==fundamentale== | ||
<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> | ||
[[Kategorie:Mechanik]] | [[Kategorie:Mechanik]] | ||