TimeE

TimeE - Time Dependence 6 2 2 h V(x,y,z,t = i h 2m t 4 2 0...

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Colby College Time Dependence h 2 2m 2 Ψ + V(x,y,z,t) Ψ = i h ∂Ψ t 0 2 4 6 0 0.5a a x -> if V(x,y,z,t) = V(x,y,z) separable Ψ (x,y,z,t) = Ψ (x,y,z) Ψ (t) 1 Ψ (x,y,z) h 2 2m 2 Ψ ( x,y,z) + V(x,y,z) Ψ (x,y,z) = 1 Ψ (t) i h ∂Ψ (t) t 1 Ψ (x,y,z) H Ψ (x,y,z) = 1 Ψ (t) i h ∂Ψ (t) t 1 Ψ (x,y,z) h 2 2m 2 Ψ ( x,y,z) + V(x,y,z) Ψ (x,y,z) = E E = 1 Ψ (t) i h ∂Ψ (t) t i h
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