3D Quantum Tunneling
Visualize quantum wave function evolution on a 128^3 grid. Watch a wave packet tunnel through a potential barrier - a classically forbidden process that quantum mechanics allows. k=0.30 provides speedup for Coulomb-type potentials.
Schrodinger Equation
i*hbar * dpsi/dt = H*psi with split-step method
128^3 Grid
Over 2 million grid points for wavefunction
Phase Visualization
Color = complex phase, Brightness = probability
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Quantum Tunneling Explained
In quantum mechanics, particles can "tunnel" through barriers that would be insurmountable classically. The wave function extends into the barrier, decaying exponentially, but can emerge on the other side.
NNC Optimization Note
k=0.30 was determined optimal for atomic scale (10^-10 m) problems with Coulomb singularities. For smooth potentials like square barriers, k=0 (classical) is actually optimal. The Hydrogen preset demonstrates where NNC provides genuine speedup.
Presets
- Square Barrier: Watch tunneling occur
- Double Slit: Quantum interference pattern
- Hydrogen-like: Atomic orbital (benefits from NNC)
- Harmonic: Oscillating coherent state