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authorPrefetch2021-07-28 14:27:37 +0200
committerPrefetch2021-07-28 14:27:37 +0200
commite12c7ce372ecaa042d85d9fb76371a75ff518d1a (patch)
treee3658cdf571dc8107a1c0ba7c5e1efe82870dad7 /content/know/concept/path-integral-formulation/index.pdc
parentbffb355fd906723dcf7e587ce6ad16c751ed8abe (diff)
Expand knowledge base, fix a:visited CSS
Diffstat (limited to 'content/know/concept/path-integral-formulation/index.pdc')
-rw-r--r--content/know/concept/path-integral-formulation/index.pdc8
1 files changed, 4 insertions, 4 deletions
diff --git a/content/know/concept/path-integral-formulation/index.pdc b/content/know/concept/path-integral-formulation/index.pdc
index c66aed8..1698e27 100644
--- a/content/know/concept/path-integral-formulation/index.pdc
+++ b/content/know/concept/path-integral-formulation/index.pdc
@@ -27,7 +27,7 @@ to the destination $x_N$ at time $t_N$:
$$\begin{aligned}
\boxed{
K(x_N, t_N; x_0, t_0)
- = A \sum_{\mathrm{all}\:x(t)} \exp(i S[x] / \hbar)
+ = A \sum_{\mathrm{all}\:x(t)} \exp\!(i S[x] / \hbar)
}
\end{aligned}$$
@@ -156,7 +156,7 @@ The definition of the propagator $K$ is then further reduced to the following:
$$\begin{aligned}
K
= \Big( \frac{- i m}{2 \pi \hbar \Delta t} \Big)^{\!N / 2}
- \idotsint \exp(i S[x] / \hbar) \dd{x_1} \cdots \dd{x_{N-1}}
+ \idotsint \exp\!(i S[x] / \hbar) \dd{x_1} \cdots \dd{x_{N-1}}
\end{aligned}$$
Finally, for the purpose of normalization,
@@ -173,8 +173,8 @@ which sums over all possible paths $x(t)$:
$$\begin{aligned}
K
- = \int \exp(i S[x] / \hbar) \:D[x]
- = A \sum_{\mathrm{all}\:x(t)} \exp(i S[x] / \hbar)
+ = \int \exp\!(i S[x] / \hbar) \:D[x]
+ = A \sum_{\mathrm{all}\:x(t)} \exp\!(i S[x] / \hbar)
\end{aligned}$$