A particle moves through a region with a constant potential energy V0. Show that the wavefunction Ψ(x) = A exp (−αx), with α a real number, is a solution of the time-independent Schr¨odinger equation. What is the total energy of such a particle?

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A particle moves through a region with a constant potential energy V0. Show that the wavefunction Ψ(x) = A exp (−αx), with α a real number, is a solution of the time-independent Schr¨odinger equation. What is
the total energy of such a particle?

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