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authorPrefetch2021-09-25 10:26:44 +0200
committerPrefetch2021-09-25 10:26:44 +0200
commitf7c7464e29cb19083a2488c393f3707e97248c4f (patch)
tree2b4076b26de60d4bf44772d45bd2d2eeace81a61 /content/know/concept/heisenberg-picture/index.pdc
parentbb79f9b1beee85f2290f3bed9b62eacaca445602 (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/heisenberg-picture/index.pdc')
-rw-r--r--content/know/concept/heisenberg-picture/index.pdc4
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}