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Quantum Processes Systems, and Information by Michael Westmoreland, Benjamin Schumacher

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11 Dynamics of a free particle

11.1  Dynamics in 1-D

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The 1-D Hamiltonian

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It is time to think about time. The quantum state |ψ(t)image of a particle in 1-D depends on time t, and so do the position and momentum wave functions:

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(11.1)

All of our previous results about these wave functions and their relationship to one another still hold true. The ...

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