QUANTUM MECHANICS SIMULATOR

See quantum
in motion.

Play with the strange rules of the quantum world
Spreading wave packets, double-slit fringes, tunneling, discrete energy levels, hydrogen electron clouds and spectral lines, spin measurement, qubits and entanglement. 12 quantum mechanics simulations you can touch and explore.

Download on theApp Store Get it onGoogle Play

Free12 simulations73 languagesNo accountiPhone · iPad · Android

12simulations

3categories

$0no in-app purchases

73languages

Simulations

12 simulations

Three categories: waves and particles, quantized energy, and spin and entanglement. Move a slider and watch wave functions and probabilities change instantly.

Waves & Particles4

Wave Function

How a wave packet moves and spreads

Double Slit

Single particles build up fringes

Uncertainty Principle

Position and momentum trade off

Quantum Tunneling

Slip through a wall you can't climb

Quantized Energy4

Particle in a Box

Energy comes in discrete steps

Harmonic Oscillator

Evenly spaced energy levels

Hydrogen Atom

Quantum numbers shape the electron cloud

Hydrogen SpectrumNEW

Falling electrons give off set colors

Spin & Entanglement4

Stern-Gerlach

Measuring spin splits the beam in two

Entanglement

Distant correlations and Bell's inequality

Quantum Walk

Spreads faster than a random walk

QubitNEW

A state turning on the Bloch sphere

Screenshots

Touch, observe, understand

Change a barrier height, a quantum number or a measurement angle, and the wave function and probabilities respond in real time.

**One particle at a time builds fringes**Single detections pile up into the wave interference pattern.

**See the electron cloud**Change n, l and m to reshape the hydrogen orbitals.

**A wave through the wall**Part of the wave crosses the barrier even without enough energy.

**Breaking Bell's inequality**Entangled pairs push S beyond the classical limit of 2.

**A qubit on the Bloch sphere**Watch Rabi oscillation, then measure to project onto up or down.

**Discrete colors of light**Level gaps set the photon energy and the spectral lines.

Features

Built for learning

Hands-on

Change the packet width, barrier height, quantum numbers or spin angle with sliders, and watch the wave function and probabilities respond.

Quantum made visible

Probability densities |ψ|², interference fringes built up one particle at a time, hydrogen electron clouds — the invisible behavior of the quantum world, drawn on screen.

Explanations with formulas

Every screen explains the physics behind it — the Schrödinger equation, Δx·Δp ≥ ℏ/2, E_n = ℏω(n+½), the CHSH inequality and more.

73 languages

English, Japanese, Chinese, Korean, Spanish, Arabic and 67 more. The app follows your device language automatically.

Free, no account

Every feature is free. No in-app purchases, subscriptions or sign-in. The only ad is a Pangle banner at the bottom.

Easy to use anywhere

Dark and light themes, landscape, and iPad and tablets. The simulations work offline.

Pricing & ads

The app is free. There are no in-app purchases, subscriptions or paid unlocks, and no account is needed.

A Pangle banner ad is shown at the bottom of the screen. On iOS, the App Tracking Transparency (ATT) prompt appears at launch, and ads are personalized only if you allow tracking. On Android, the app asks once whether ads may be personalized. Either choice can be changed later from "About this app" > "Ad settings".

Requirements: iPhone and iPad with iOS 15.0 or later; Android 7.0 (API 24) or later phones and tablets.

Download

Quantum mechanics in your pocket.

Free on the App Store and Google Play.