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To solve this numerically, let's break the problem into steps: ### 1. Understanding the Given Wavefunction The initial wavefunction is given as: \[ \psi(x, 0) = \frac{1}{\sqrt{2}} (\psi_0(x) - i \sqrt{3} \psi_2(x)) \] where \( \psi_0(x) \) and \( \psi_2(x) \) are the normalized eigenfunctions of the quantum harmonic oscillator. ### 2. Time Evolution of the Wavefunction Since the eigenfunctions \( \psi_n(x) \) _________ _______ __________ _________ _____ _________ ______ ________.
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