Schrödinger Wave Mechanics Lab: Interactive 2D Wavefunction Simulator

Quantum Phase $\arg(\Psi)$: $-\pi$

$+\pi$

Barrier Height $V_0$ 2.50 eV

Barrier Width $W$ 30 nm

Wavepacket Momentum $p_0$ 3.2 $\hbar/k$

Packet Width $\sigma$ 25 nm

Time Speed $\Delta t$ 1.0x

Quantum Measurement Probe

💡 Interactive Space: Click/drag directly on the top canvas area to draw custom potential barriers $V(x)$ or place the measurement probe!

QUANTUM TELEMETRY

Detector Off

Norm Check $\int|\Psi|^2$ 1.0000

Transmission $T$ 0.0 %

Reflection $R$ 0.0 %

Mean Position $\langle x \rangle$ 0.00 nm

Uncertainty $\Delta x$ 0.00 nm

Mean Energy $\langle E \rangle$ 0.00 eV

Quantum Probability & Spatial Wave Mechanics

In classical physics, particles exist at definitive spatial coordinates. In quantum wave mechanics, physical entities are governed by a continuous complex wave function $\Psi(x,t)$ satisfying the Time-Dependent Schrödinger Equation:

i $\hbar$ &partial;Ψ/&partial;t = [ -(ℏ²/2m) ∇² + V(x) ] Ψ

Phase & Color: Spectral hue represents quantum phase $\arg(\Psi)$, while visual height & brightness represent probability density $|\Psi(x,t)|^2$.

Quantum Tunneling: Particles penetrate forbidden solid energy barriers higher than their kinetic energy, emerging probabilistically on the other side.

Wave Collapse: Activating the spatial detector probe triggers stochastic collapse from a spread-out wave packet to a localized particle observation.