Gaussian Wave Packet Evolves

1D Gaussian Wave Packet Ψ(x,t)=Ae^(-(x-vt)²/4a²)e^(i(kx-ωt)) Nonrelativistic Schrödinger Equation iℏ ∂Ψ(x,t)/∂t = -ℏ²/2m ∂²Ψ(x,t)/∂ψ² → Ψ(x,t)=Ae^(i(kx-ωt))

An animated visualization begins with a one-dimensional Gaussian wave packet, which spreads and propagates along a glowing line before transitioning to a grid-based visualization of the nonrelativistic Schrödinger equation. The abstract quantum-mechanics animation is paired with the dreamy electronic music track “Horizon” by Hotel Pools, creating a calm, mesmerizing, educational mood rather than a conventional punchline; it works as a reaction to something beautifully overcomplicated or intellectually satisfying. EN: An animated visualization begins with a one-dimensional Gaussian wave packet, which spreads and propagates along a glowing line before transitioning to a grid-based visualization of the nonrelativistic Schrödinger equation. The abstract quantum-mechanics animation is paired with the dreamy electronic music track “Horizon” by Hotel Pools, creating a calm, mesmerizing, educational mood rather than a conventional punchline; it works as a reaction to something beautifully overcomplicated or intellectually satisfying.

♪ Hotel Pools — Horizon

• @pokupkabitka / 45118 2024-10-12