# 2D Harmonic Oscillator

<figure><img src="/files/O18zByKJG1m2hGI8KZZO" alt=""><figcaption></figcaption></figure>

<figure><img src="/files/uqGgrVMusvpujYbxWM1C" alt=""><figcaption></figcaption></figure>

```
Numerical Domain
(x,y) in [-1,1]x[-1,1]
Nx = Ny = 200
CFL = 0.125
Nt = 12800

Initial conditions for the quasi-classical state
omega = 10.0*pi
V = 0.5*omega**2*(x**2+y**2)
k0 = omega*0.2d0
psi = (omega/pi)**0.5* exp(-0.5*omega*((x+0.2)**2+y**2)) * exp(cmplx(0.0d0,k0*y))

Initial conditions for the elliptic trajectory
omega = 10.0*pi
V = 0.5*omega**2*(x**2+y**2)
k0 = omega*0.2d0
psi = (omega/pi)**0.5* exp(-1.0*omega*((x+0.4)**2+y**2)) * exp(cmplx(0.0d0,k0*(cos(45.0*pi/180.0)*x+sin(45.0*pi/180.0)*y)))
```


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