diff --git a/src/build.js b/src/build.js
index af82bc9..46a2a9d 100644
--- a/src/build.js
+++ b/src/build.js
@@ -11,6 +11,7 @@
   "../../src/static/video/oscillator.mp4": "build/video",
   "../../src/static/video/travelling.mp4": "build/video",
   "../../src/static/video/photon.mp4": "build/video",
+  "../../src/static/video/localized.mp4": "build/video",
   "../../src/static/img/gauss.png": "build/img",
 }
 

diff --git a/src/build.js b/src/build.js
index af82bc9..46a2a9d 100644
--- a/src/build.js
+++ b/src/build.js
@@ -11,6 +11,7 @@
   "../../src/static/video/oscillator.mp4": "build/video",
   "../../src/static/video/travelling.mp4": "build/video",
   "../../src/static/video/photon.mp4": "build/video",
+  "../../src/static/video/localized.mp4": "build/video",
   "../../src/static/img/gauss.png": "build/img",
 }
 
diff --git a/src/presentation/main.md b/src/presentation/main.md
index a80020a..eba7717 100644
--- a/src/presentation/main.md
+++ b/src/presentation/main.md
@@ -405,3 +405,47 @@
 
 ;$$ \psi = A_{k} *e^{-\frac{k^2}{4*b_{x0}}} * \circlearrowleft(-\frac{h*k^2}{4*\pi*m} * t) =
 \textcolor{red}{A_{k} *e^{-\frac{k^2}{4*b_{x0}}}*e^{-\frac{i*h*k^2}{4*\pi*m} *t}}$$
+
+;$$ \psi = A_{k} * e^{-\frac{k^2}{4*b_{x0}} + \ln(\circlearrowleft(-\frac{h*k^2*t}{4*\pi*m}))}$$
+;$$ \psi = A_{k} * e^{-\frac{k^2}{4*b_{x0}} -\frac{h*k^2*t}{4*\pi*m} \circlearrowleft(90\degree)}$$
+;$$ \psi = A_{k} * e^{-k^2(\frac{1}{4*b_{x0}} + \frac{h*t}{4*\pi*m} \circlearrowleft(90\degree))}\textcolor{red}{ =
+A_{k}*e^{-k^2*(\frac{1}{4*b_{x0}}+\frac{i*\hbar*t}{2*m})}}$$
+
+;$$\psi = A_{k} * e^{-c*k^2}, c =
+\sigma_x^2+\frac{h*t}{4*\pi*m}*\circlearrowleft(90\degree)\textcolor{red}{=\sigma_x^2+\frac{i\hbar*t}{2*m}} $$
+
+---
+
+### Ein lokalisiertes Teilchen
+
+$$\psi = A_{k} * e^{-c*k^2} $$
+$$ \Psi = A * e^{-\frac{x^2}{4*c}} =
+A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{h*t}{\pi*m}*\circlearrowleft(90\degree)}}\textcolor{red}{=A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{2i*\hbar*t}{m}}}}$$
+
+;$$ \Psi =
+A*e^{-\frac{x^2*(4*\sigma_x^2-\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))}{(4*\sigma_x^2+\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))*(4*\sigma_x^2-\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))}}
+$$
+
+;$$ \Psi =
+A*e^{-\frac{x^2*(4*\sigma_x^2-\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}}}
+$$
+
+;$$ \Psi =
+A*e^{-\frac{4*x^2*\sigma_x^2}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}}+\frac{\frac{x^2*h*t}{\pi*m}*\circlearrowleft(90\degree))}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}}}
+$$
+
+;$$ \Psi =
+A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{h^2*t^2}{16*\pi^2*m^2*\sigma_x^2}}}*\circlearrowleft(\frac{\frac{x^2*h*t}{\pi*m}}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}})
+$$
+
+---
+
+### Ein lokalisiertes Teilchen
+
+$$ \Psi =
+A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{h^2*t^2}{16*\pi^2*m^2*\sigma_x^2}}}*\circlearrowleft(\frac{x^2}{\frac{16*\sigma_x^4*\pi*m}{h*t}+\frac{h*t}{\pi*m}})
+$$
+
+<video autoplay loop width="50%" height="50%">
+  <source src="video/localized.mp4" type="video/mp4">
+</video>

diff --git a/src/build.js b/src/build.js
index af82bc9..46a2a9d 100644
--- a/src/build.js
+++ b/src/build.js
@@ -11,6 +11,7 @@
   "../../src/static/video/oscillator.mp4": "build/video",
   "../../src/static/video/travelling.mp4": "build/video",
   "../../src/static/video/photon.mp4": "build/video",
+  "../../src/static/video/localized.mp4": "build/video",
   "../../src/static/img/gauss.png": "build/img",
 }
 
diff --git a/src/presentation/main.md b/src/presentation/main.md
index a80020a..eba7717 100644
--- a/src/presentation/main.md
+++ b/src/presentation/main.md
@@ -405,3 +405,47 @@
 
 ;$$ \psi = A_{k} *e^{-\frac{k^2}{4*b_{x0}}} * \circlearrowleft(-\frac{h*k^2}{4*\pi*m} * t) =
 \textcolor{red}{A_{k} *e^{-\frac{k^2}{4*b_{x0}}}*e^{-\frac{i*h*k^2}{4*\pi*m} *t}}$$
+
+;$$ \psi = A_{k} * e^{-\frac{k^2}{4*b_{x0}} + \ln(\circlearrowleft(-\frac{h*k^2*t}{4*\pi*m}))}$$
+;$$ \psi = A_{k} * e^{-\frac{k^2}{4*b_{x0}} -\frac{h*k^2*t}{4*\pi*m} \circlearrowleft(90\degree)}$$
+;$$ \psi = A_{k} * e^{-k^2(\frac{1}{4*b_{x0}} + \frac{h*t}{4*\pi*m} \circlearrowleft(90\degree))}\textcolor{red}{ =
+A_{k}*e^{-k^2*(\frac{1}{4*b_{x0}}+\frac{i*\hbar*t}{2*m})}}$$
+
+;$$\psi = A_{k} * e^{-c*k^2}, c =
+\sigma_x^2+\frac{h*t}{4*\pi*m}*\circlearrowleft(90\degree)\textcolor{red}{=\sigma_x^2+\frac{i\hbar*t}{2*m}} $$
+
+---
+
+### Ein lokalisiertes Teilchen
+
+$$\psi = A_{k} * e^{-c*k^2} $$
+$$ \Psi = A * e^{-\frac{x^2}{4*c}} =
+A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{h*t}{\pi*m}*\circlearrowleft(90\degree)}}\textcolor{red}{=A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{2i*\hbar*t}{m}}}}$$
+
+;$$ \Psi =
+A*e^{-\frac{x^2*(4*\sigma_x^2-\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))}{(4*\sigma_x^2+\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))*(4*\sigma_x^2-\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))}}
+$$
+
+;$$ \Psi =
+A*e^{-\frac{x^2*(4*\sigma_x^2-\frac{h*t}{\pi*m}*\circlearrowleft(90\degree))}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}}}
+$$
+
+;$$ \Psi =
+A*e^{-\frac{4*x^2*\sigma_x^2}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}}+\frac{\frac{x^2*h*t}{\pi*m}*\circlearrowleft(90\degree))}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}}}
+$$
+
+;$$ \Psi =
+A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{h^2*t^2}{16*\pi^2*m^2*\sigma_x^2}}}*\circlearrowleft(\frac{\frac{x^2*h*t}{\pi*m}}{16*\sigma_x^4+\frac{h^2*t^2}{\pi^2*m^2}})
+$$
+
+---
+
+### Ein lokalisiertes Teilchen
+
+$$ \Psi =
+A*e^{-\frac{x^2}{4*\sigma_x^2+\frac{h^2*t^2}{16*\pi^2*m^2*\sigma_x^2}}}*\circlearrowleft(\frac{x^2}{\frac{16*\sigma_x^4*\pi*m}{h*t}+\frac{h*t}{\pi*m}})
+$$
+
+<video autoplay loop width="50%" height="50%">
+  <source src="video/localized.mp4" type="video/mp4">
+</video>
diff --git a/src/python/localized.py b/src/python/localized.py
new file mode 100644
index 0000000..5dce65a
--- /dev/null
+++ b/src/python/localized.py
@@ -0,0 +1,31 @@
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.animation as animation
+
+outputFolder = "src/static/video/"
+
+framerate = 20
+speed = 0.1
+time = 20
+dt = speed/framerate
+
+sigma = 0.5
+m = 1
+h = 1
+
+waveFunction = lambda x, t: sigma / (np.sqrt(sigma**2+(2j*h*t/m))) * np.exp(-x**2/(sigma**2+2j*h*t/m))
+wave = lambda x, t: np.abs(waveFunction(x,t))**2
+x = np.linspace(-20, 20, 1000)
+
+fig, ax = plt.subplots()
+
+line, = ax.plot(x, wave(x, 0))
+
+def animate(i):
+    line.set_ydata(wave(x, i * dt))
+    return line,
+
+ani = animation.FuncAnimation(
+    fig, animate, interval=1000/framerate, blit=True, save_count = framerate * time)
+ani.save(f"{outputFolder}localized.mp4")
+plt.show()