If a particle is completely free to move with no restrictions, the potential energy is 0 everywhere. One solution to this free particle in one dimension is ψ(x) = e i √ 2mE/~x . Show that this wave function satisfies the Schrodinger Equation

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If a particle is completely free to move with no restrictions, the potential energy is 0
everywhere. One solution to this free particle in one dimension is
ψ(x) = e
i

2mE/~x
. Show that this wave function satisfies the Schrodinger Equation.

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