Harmonic Oscillator
In this section, we are going to show a really nice example of how the particles described by Schrödinger's wave function still have a lot of properties from classical mechanics.
Numerical Domain
xmin = -3
xmax = 3
Nx = 3000
CFL = 0.125
Nt = 320000
CASE 1
Initial Conditions for the quasi-classical state
omega = 12.5d0*pi
p0 = 50.0d0
psi = (omega/pi)**0.25 *exp(-0.5*omega*x**2)*exp(cmplx(0.0d0,p0*x))
CASE 2
Initial Conditions for the different wave packet
omega = 12.5d0*pi
p0 = 50.0d0
psi = (omega/pi)**0.25 *exp(-1.0*omega*x**2)*exp(cmplx(0.0d0,p0*x))

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