diff options
Diffstat (limited to 'content/know/concept/heisenberg-picture/index.pdc')
| -rw-r--r-- | content/know/concept/heisenberg-picture/index.pdc | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/content/know/concept/heisenberg-picture/index.pdc b/content/know/concept/heisenberg-picture/index.pdc index 9e4887d..c49169f 100644 --- a/content/know/concept/heisenberg-picture/index.pdc +++ b/content/know/concept/heisenberg-picture/index.pdc @@ -20,7 +20,7 @@ In the Schrödinger picture, the operators (observables) are fixed (as long as they do not depend on time), while the state $\ket{\psi_S(t)}$ changes according to the Schrödinger equation, which can be written using the generator of translations -$\hat{U}(t) = \exp{} (- i t \hat{H} / \hbar)$ like so: +$\hat{U}(t) = \exp\!(- i t \hat{H} / \hbar)$ like so: $$\begin{aligned} \ket{\psi_S(t)} = \hat{U}(t) \ket{\psi_S(0)} @@ -100,7 +100,7 @@ $$\begin{aligned} \end{aligned}$$ This equation is closer to classical mechanics than the Schrödinger picture: -inserting the position $\hat{X}$ and momentum $\hat{P} = - i \hbar \: d/d\hat{X}$ +inserting the position $\hat{X}$ and momentum $\hat{P} = - i \hbar \: \dv*{\hat{X}}$ gives the following Newton-style equations: $$\begin{aligned} |