🌊 Рівняння Шредінгера

← Назад
1D рівняння Шредінгера: iℏ∂ψ/∂t = -ℏ²/2m ∇²ψ + V(x)ψ. Хвильовий пакет рухається у різних потенціальних ямах і тунелює крізь бар'єри.

⚛️ Schrödinger Equation — Quantum Wave

Visualise quantum wavefunctions evolving in real time. A wave packet propagates, tunnels through barriers and reflects — the Schrödinger equation brought to life in interactive simulation.

🔬 What It Demonstrates

The time-dependent Schrödinger equation iℏ∂ψ/∂t = Ĥψ is solved numerically. The probability density |ψ|² shows where the particle is likely to be found.

🎮 How to Use

Set up potential barriers and wells. Launch a wave packet and watch it propagate, reflect and tunnel. The probability density evolves according to quantum mechanics.

💡 Did You Know?

Quantum tunnelling is exploited in tunnel diodes, scanning tunnelling microscopes and flash memory. The Sun shines because protons tunnel through the Coulomb barrier to fuse — without tunnelling, the Sun would be cold.