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# Quantum Tunneling

<figure><img src="https://2276973797-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FB1IXpWfKDLiUtuVnth7p%2Fuploads%2FTRLeUdYLjYu4X7Oj3lSZ%2FQuantumTunneling.gif?alt=media&amp;token=70928d34-ae2f-49ab-91f8-bb95f83e5935" alt=""><figcaption></figcaption></figure>

```
Numerical Domain
xmin = -4
xmax =  4
Nx = 4000
CFL = 0.125
Nt = 150000

Initial Conditions
p0 = 50.0
a = 0.25
psi = (2.0d0/pi/a**2)**0.25*exp(-((x+2.0d0)/a)**2)*exp(cmplx(0.0d0,p0*x))

Potential
if (|x| < 0.05):
    V = 1500
else:
    V = 0
```