Fix "Dirac notation"

1 files changed, 6 insertions, 6 deletions

diff --git a/latex/know/concept/dirac-notation/source.md b/latex/know/concept/dirac-notation/source.md
index 7b384ab..47aa370 100644
--- a/latex/know/concept/dirac-notation/source.md
+++ b/latex/know/concept/dirac-notation/source.md
@@ -14,13 +14,13 @@ and therefore cannot be added, but every bra has a corresponding ket and
 vice versa.
 
 Bras and kets can only be combined in two ways: the *inner product*
-$\braket{V | W}$, which returns a scalar, and the *outer product*
+$\braket{V}{W}$, which returns a scalar, and the *outer product*
 $\ket{V} \bra{W}$, which returns a mapping $\hat{L}$ from kets $\ket{V}$
 to other kets $\ket{V'}$, i.e. a linear operator. Recall that the
 Hilbert inner product must satisfy:
 
 $$\begin{aligned}
-    \braket{V | W} = \braket{W | V}^*
+    \braket{V}{W} = \braket{W}{V}^*
 \end{aligned}$$
 
 So far, nothing has been said about the actual representation of bras or
@@ -40,10 +40,10 @@ $$\begin{aligned}
     \end{bmatrix}
 \end{aligned}$$
 
-The inner product $\braket{V | W}$ is then just the familiar dot product $V \cdot W$:
+The inner product $\braket{V}{W}$ is then just the familiar dot product $V \cdot W$:
 
 $$\begin{gathered}
-    \braket{V | W}
+    \braket{V}{W}
     =
     \begin{bmatrix}
         v_1^* & \cdots & v_N^*
@@ -91,7 +91,7 @@ $$\begin{aligned}
 Consequently, the inner product is simply the following familiar integral:
 
 $$\begin{gathered}
-    \braket{f | g}
+    \braket{f}{g}
     = F[g(x)]
     = \int_a^b f^*(x) \: g(x) \dd{x}
 \end{gathered}$$
@@ -115,5 +115,5 @@ $$\begin{aligned}
     \\
     &= \Big( \int_a^b u^*(x) \: f(x) \dd{x} \Big) \Big( \int_a^b g^*(\xi) \: w(\xi) \dd{\xi} \Big)
     \\
-    &= \braket{u | f} \braket{g | w}
+    &= \braket{u}{f} \braket{g}{w}
 \end{aligned}$$