diff options
Diffstat (limited to 'content/know/concept/lindhard-function/index.pdc')
| -rw-r--r-- | content/know/concept/lindhard-function/index.pdc | 7 |
1 files changed, 6 insertions, 1 deletions
diff --git a/content/know/concept/lindhard-function/index.pdc b/content/know/concept/lindhard-function/index.pdc index d38dc2e..96244c9 100644 --- a/content/know/concept/lindhard-function/index.pdc +++ b/content/know/concept/lindhard-function/index.pdc @@ -13,6 +13,11 @@ markup: pandoc # Lindhard function +The **Lindhard function** describes the response of an electron gas +to an external perturbation, +and can be regarded as a quantum-mechanical +alternative to the [Drude model](/know/concept/drude-model/). + We start from the [Kubo formula](/know/concept/kubo-formula/) for the electron density operator $\hat{n}$, which describes the change in $\expval{\hat{n}}$ @@ -396,7 +401,7 @@ $$\begin{aligned} \end{aligned}$$ Therefore, by inserting all the above expressions, -we arrive at the following dielectric function $\varepsilon_r$ +we arrive at the Lindhard dielectric function $\varepsilon_r$ for a non-interacting electron gas in a uniform potential: $$\begin{aligned} |