diff --git a/src/presentation/main.md b/src/presentation/main.md
index e47a465..3e01254 100644
--- a/src/presentation/main.md
+++ b/src/presentation/main.md
@@ -40,7 +40,15 @@
 ;$$ \Psi = \sqrt{\frac{D}{2}}*\begin{pmatrix} x \\ \frac{v}{\omega} \end{pmatrix} = \sqrt{\frac{D}{2}}*\begin{pmatrix}
 A*\cos(\omega * t) \\ \frac{\omega * A * \sin(\omega * t)}{\omega}\end{pmatrix}$$
 ;$$ \Psi = \sqrt{\frac{D}{2}}*\begin{pmatrix} A \\ A \end{pmatrix} \odot \circlearrowleft(\omega * t)
-= \sqrt{\frac{D}{2}}*A *\circlearrowleft(\omega * t)$$
+= \sqrt{\frac{D}{2}}*A *\circlearrowleft(\omega * t) $$
+
+---
+
+### Die harmonische Schwingung
+
+$$ \Psi = \sqrt{\frac{D}{2}}*\begin{pmatrix} A \\ A \end{pmatrix} \odot \circlearrowleft(\omega * t)
+= \sqrt{\frac{D}{2}}*A *\circlearrowleft(\omega * t) $$
+$$ \textcolor{red}{\Psi=\sqrt{\frac{D}{2}} * A * e^{i*\omega*t}}$$
 ;$$|\Psi|^2 = E_{ges} = \frac{D*A^2}2 $$
 
 ---
@@ -57,3 +65,32 @@
 <video autoplay loop>
   <source src="video/travelling.mp4" type="video/mp4">
 </video>
+
+---
+
+### Wanderwelle
+
+<video autoplay loop width="50%" height="50%">
+  <source src="video/travelling.mp4" type="video/mp4">
+</video>
+
+$$ \Psi = A*\circlearrowleft(k*x - \omega * t) \textcolor{red}{= A*e^{i(k*x-\omega*t)}}$$
+
+---
+
+### Wanderwelle
+
+$$ \Psi = A*\circlearrowleft(k*x - \omega * t) \textcolor{red}{= A*e^{i(k*x-\omega*t)}}$$
+;$$ k = \frac{2*\pi}{\lambda}, \omega = 2*\pi*f $$
+;$$ \lambda = \frac{h}{p} \Rightarrow k = \frac{2*\pi*p}{h} $$
+;$$ \omega = 2 * \pi * \frac{v}{\lambda} = \frac{2 * \pi * v * p}{h} $$
+
+---
+
+### Wanderwelle
+
+$$ \Psi = A*\circlearrowleft(k*x - \omega * t) \textcolor{red}{= A*e^{i(k*x-\omega*t)}}$$
+
+$$ k = \frac{2*\pi*p}{h}, \omega = \frac{2 * \pi * v * p}{h} $$
+;$$ \Psi = A*\circlearrowleft(\frac{2 * \pi * p}{h}*x - \frac{2 * \pi * v * p}{h} * t) $$
+;$$ \Psi = A*\circlearrowleft(\frac{2*\pi*p}{h}*(x - v*t)) \textcolor{red}{= A*e^{\frac{i*p}{\hbar}*(x-v*t)}} $$