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Bainiasss
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Wednesday 07 October 2026 09:57:05 GMT
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Here we show the diffraction through a Galton board array of cylinders for a gaussian packet representing a particle. We use Schrödinger's equation for ħ/2m = 2e-3 and model each obstacle using a smoothed Heaviside potential to reflect the wave. We can see multiple diffraction pattern interfering with each other, both transmitted and reflected. Contrary to its classical counterpart, this simulation has no gravity, allowing for a backward propagation. The domain is periodic with size 1.4x1.4 but cropped to 1x1 to prevent the re-entry of the wave function. The particle wavelength is λ=0.025 and the wave packet characteristic radius is ~0.075=3λ. Each dot is a circle of radius r=0.014 and are arranged in a triangular lattice of side d=0.2. The timestep is chosen to be dt=1.25e-4 to solve the high-frequency oscillations of the wavefunction Ψ (not visible here as we are showing |Ψ| for clarity). #physics #mathematics #differentialequations #visualization #calculus #numericalmethods #simulation #quantumphysics #diffraction #galtonboard
Here we show the diffraction through a Galton board array of cylinders for a gaussian packet representing a particle. We use Schrödinger's equation for ħ/2m = 2e-3 and model each obstacle using a smoothed Heaviside potential to reflect the wave. We can see multiple diffraction pattern interfering with each other, both transmitted and reflected. Contrary to its classical counterpart, this simulation has no gravity, allowing for a backward propagation. The domain is periodic with size 1.4x1.4 but cropped to 1x1 to prevent the re-entry of the wave function. The particle wavelength is λ=0.025 and the wave packet characteristic radius is ~0.075=3λ. Each dot is a circle of radius r=0.014 and are arranged in a triangular lattice of side d=0.2. The timestep is chosen to be dt=1.25e-4 to solve the high-frequency oscillations of the wavefunction Ψ (not visible here as we are showing |Ψ| for clarity). #physics #mathematics #differentialequations #visualization #calculus #numericalmethods #simulation #quantumphysics #diffraction #galtonboard


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