Add "Slater determinant" + improvements to knowledge base

1 files changed, 5 insertions, 5 deletions

diff --git a/latex/know/concept/pauli-exclusion-principle/source.md b/latex/know/concept/pauli-exclusion-principle/source.md
index d1c2149..f95541f 100644
--- a/latex/know/concept/pauli-exclusion-principle/source.md
+++ b/latex/know/concept/pauli-exclusion-principle/source.md
@@ -3,8 +3,8 @@
 
 # Pauli exclusion principle
 
-In quantum mechanics, the **Pauli exclusion principle** is a theorem that
-has profound consequences for how the world works.
+In quantum mechanics, the **Pauli exclusion principle** is a theorem with
+profound consequences for how the world works.
 
 Suppose we have a composite state
 $\ket*{x_1}\ket*{x_2} = \ket*{x_1} \otimes \ket*{x_2}$, where the two
@@ -34,8 +34,8 @@ $$\begin{aligned}
 
 As it turns out, in nature, each class of particle has a single
 associated permutation eigenvalue $\lambda$, or in other words: whether
-$\lambda$ is $-1$ or $1$ depends on the species of particle that $x_1$
-and $x_2$ represent. Particles with $\lambda = -1$ are called
+$\lambda$ is $-1$ or $1$ depends on the type of particle that $x_1$
+and $x_2$ are. Particles with $\lambda = -1$ are called
 **fermions**, and those with $\lambda = 1$ are known as **bosons**. We
 define $\hat{P}_f$ with $\lambda = -1$ and $\hat{P}_b$ with
 $\lambda = 1$, such that:
@@ -109,7 +109,7 @@ $$\begin{aligned}
     = 0
 \end{aligned}$$
 
-At last, this is the Pauli exclusion principle: **fermions may never
+And this is the Pauli exclusion principle: **fermions may never
 occupy the same quantum state**. One of the many notable consequences of
 this is that the shells of atoms only fit a limited number of
 electrons (which are fermions), since each must have a different quantum number.