Unformatted text preview: 1 2 4 ( ) / 2 ( ;0) x x ip x x e α π--+ Ψ = h . Check your answer by directly substituting in the time-dependent Schrödinger equation. Examine how the probability density spreads with time by calculating the “uncertainty in position” ( 29 1 2 2 2 ( ) ( ) ( ) ( ) ( ) x t t x t t x t ∆ = Ψ Ψ- Ψ Ψ ....
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- Spring '08
- free particle, time-dependent Schrödinger equation, Nancy Makri, free one-dimensional space, di mensions