vergleich mit fundamentale Poissionklammern { q k , p l } = δ k l {\displaystyle \left\{{{q}_{k}},{{p}_{l}}\right\}={{\delta }_{kl}}}
{ q k , q l } = { p k , p l } = 0 {\displaystyle \left\{{{q}_{k}},{{q}_{l}}\right\}=\left\{{{p}_{k}},{{p}_{l}}\right\}=0}
wird zu
[ q k , p l ] = i ℏ δ k l [ q k , q l ] = [ p k , p l ] = 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}}}
Quantenmechanik
![{\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)