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QUANTUM MECHANICS · Probability CurrentSeveral quantum packets move through the same 2D field.Each packet is a wavefunction ψₐ(x,y,t), evolving byi∂ψₐ/∂t = [-½∇² + V(x,y,t) + gρ(x,y,t)]ψₐ.The total probability density isρ = Σₐ |ψₐ|².The flowing threads show the total probability current:J = Σₐ Im(ψₐ*∇ψₐ).The dotted particles ride the velocity fieldv = J / ρ.So the dots are following the actual quantum flow.As the packets overlap, scatter, and reshape one another, the current stretches into lumin
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