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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]]

Aktuelle Version vom 12. September 2010, 17:27 Uhr

invarianz


fundamentale