Welcome to Wave Function Calculator! ⚛️

First time exploring quantum mechanics? Perfect! Let's get you started in 30 seconds.

🟢 Beginner

Just the basics - perfect to start! Simple particle in a box and basic wave functions.

🟡 Intermediate

More systems! Harmonic oscillator, double well, and advanced parameters.

🔴 Expert

Full quantum! Hydrogen atom, custom potentials, and complete Schrödinger solver.

⚛️ Wave Function Calculator

Visualize quantum mechanics instantly! Calculate and explore wave functions with real-time 3D visualization. Perfect for students, researchers, and anyone curious about the quantum world.

🤔

What Is a Wave Function?

Think of a guitar string vibrating - that's classical waves. Now imagine particles doing the same - that's quantum!

Wave functions (ψ) are mathematical descriptions of quantum particles that tell us the probability of finding a particle at any location. They're solutions to the famous Schrödinger equation and form the foundation of quantum mechanics, explaining everything from atoms to semiconductors to quantum computers.

💻
Semiconductors
Powers every computer chip and smartphone
🔬
Quantum Computing
Next-gen computers using quantum states
💊
Drug Discovery
Molecular behavior prediction for new medicines
☀️
Solar Cells
quantum dots for efficient energy conversion
🔒
advanced cryptography
Unbreakable encryption using quantum mechanics
🧲
MRI Scanners
Medical imaging using quantum spin states
Select Difficulty:

⚡ Quick Start

🎛️ Basic Parameters

n = 1

Wave Function Visualization

E = 0 eV
Schrödinger Equation
-ℏ²/2m · d²ψ/dx² + V(x)ψ = Eψ

⚛️ Try Famous quantum Systems

📦
Ground State
n=1, Lowest Energy
⚡
Excited State
n=3, Higher Energy
🌊
Superposition
Mixed States
👻
Tunneling
Barrier Penetration
⚛️
Hydrogen 1s
Atomic Orbital
🔮
Coherent State
Classical-like

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