The wave function of a quantum particle is psi(x)=A cos (k x)+B sin (k x) where A, B, and k are con…

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The wave function of a quantum particle is psi(x)=A cos (k x)+B sin (k x) where A, B, and k are constants. Show that psi is a solution of the Schrödinger equation (Eq. 41.15 ), assuming the particle is free (U=0), and find the corresponding the energy E of the particle.

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