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Quantum Tunneling Simulation

Wave Packet Dynamics & Barrier Penetration

Simulation Controls

Wave Packet

Potential Barrier

Potential Type

Visualization

|ψ|² Probability
Re(ψ)
Im(ψ)
Potential V(x)

Schrödinger Equation

iℏ ∂ψ/∂t = Ĥψ
Time-dependent Schrödinger Equation
T = e^(-2κL)
Transmission coefficient (approx.)

Wave Packet Properties

Energy (E): --
Wavelength (λ): --
E/V₀ Ratio: --

Tunneling Probability

Transmitted: 0%
Reflected: 0%

Classical Prediction

Classical Result: --
Physics: Quantum tunneling occurs when a particle penetrates a potential barrier despite having insufficient classical energy. The wave function decays exponentially inside the barrier (κ = √(2m(V₀-E))/ℏ), but if the barrier is thin enough, probability remains on the other side.