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. The optional mode changes the soft-core radius and timestep for illustration; it is not a validated quantum speedup.

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.

Illustrative Regularization Note

The mode labeled k=0.30 uses a larger soft-core radius and timestep by construction. This browser toy does not establish optimality or unitarity.

Presets

  • Square Barrier: Watch tunneling occur
  • Double Slit: Quantum interference pattern
  • Hydrogen-like: Soft-core Coulomb visualization
  • Harmonic: Oscillating coherent state