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A Schrödinger quantum wave packet moves into a double barrier, swells inside the resonant chamber, and then tunnels through.

Mathelirium

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The video visually demonstrates the time-dependent Schrödinger equation, showing the mathematical formula along with an animation of a quantum wave packet evolving over time:

The video visually demonstrates the time-dependent Schrödinger equation, showing the mathematical formula along with an animation of a quantum wave packet evolving over time:

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A Quantum Current Chooses a Path A single electron enters a microscopic interferometer, but its wavefunction travels through two routes at once. One branch crosses a resonant quantum dot while the other moves freely around a ring threaded by magnetic flux. The probability current is j = (ℏ/m) Im(ψ*∇ψ) - (q/m)A|ψ|², while the enclosed flux creates the Aharonov-Bohm phase Δφᴬᴮ = qΦ/ℏ. The quantum dot adds the resonant phase δ(E) = atan2(Γ, E - E₀), producing Fano interference when the two paths recombine. Wave packets split, become temporarily trapped, form circulating current vortices, reverse direction after a flux quench, and finally escape through the drain in a coherent burst. The glowing threads are material curves transported by v = j/ρ, revealing how invisible quantum phase controls the flow. #QuantumMechanics #AharonovBohmEffect #QuantumInterference #QuantumDot #ProbabilityCurrent #MesoscopicPhysics #PhysicsAnimation #Physics

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1D Gaussian wave packet evolve under the non-relativistic Schrödinger Equation, brought to life through stunning visuals and beautiful music composed by Erik Norman.

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The positron is the antimatter partner of the electron and together they form positronium... a tiny quantum system with no nucleus. We used the time-dependent Schrödinger equation to evolve the electron and positron clouds. Their motion comes from their quantum states changing over time and the color from phase.

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A Photonic Molecule built from three coupled whispering-gallery resonators. A guided electromagnetic pulse enters through the bus waveguide, loads into the first ring, tunnels onto the second, then climbs knto the third through evanescent coupling. Simulated directly with Maxwell's equation using FDTD.

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A Bonus render of Electron Holography for our Quantum Mechanics Lecture Series. We’re staging a TEM-style electron holography shot as a single 3D scene. A coherent electron wave ψ(x,y,t) enters from the left as a localized packet, gets split by a thin biprism phase wedge, then bends around a central nanoring that stands in for an enclosed magnetic flux. The wave evolves by Schrödinger dynamics, so its intensity ρ=|ψ|² is literally the electron detection probability density, while the probability current j=(1/m)Im(ψ*∇ψ) acts like a conserved flow of that density across the plane. The main surface is a living whose height tracks |ψ| and whose skin color cycles with arg(ψ). On top of it, luminous current ribbons trace streamlines of v=j/(ρ+ε), so you can see how phase gradients steer the flow around the ring and back into interference. High above, a tilted detector/hologram screen shows the off-axis fringe image you’d measure (intensity after mixing with a reference wave), while a porcelain bead marks the centroid ⟨x⟩(t) and flux threads through the ring pulse in sync with the Aharonov-Bohm phase knob φ_AB(t). See our lecture series for details. #QuantumMechanics #ElectronHolography #MathematicalPhysics #Physics

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