Determine the uncertainty in momentum, ∆p, for a particle with n = 2, and use your result to put a lower bound on the uncertainty in position via Heisenberg’s uncertainty relation. By direct substitution, show that the wavefunction at the top of this page satisfies the time-dependent Schr¨odinger equation (provided that En takes the value derived in lectures)

Determine the uncertainty in momentum, ∆p, for a particle with n = 2, and use your result to put a lower bound on the uncertainty in position via Heisenberg’s uncertainty relation. By direct substitution, show that the wavefunction at the top of this page satisfies the time-dependent Schr¨odinger equation (provided that En takes the value derived in lectures)

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