The Time-Dependent Schrodinger Equation (39.18) is the time-independent Schrodinger equation in one dimension. The time-dependent Schrodinger equation is If ?(x) is a solution to Eq. (39.18) with energy E, show that the time-dependent function ? (x, t) = ? (x)e-iwt is a solution to the time-dependent Schrodinger equation if w is chosen appropriately. What is the value of w that makes ? a solution?

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²²(x, t) 2m əx² + U(x)(x, t) = ih av (x, t) at