Please show all work clearly. If you submit a picture make sure it can be read.

Question

Please show all work clearly. If you submit a picture make sure it can be read. Thanks in advance!

Consider the following statement: "The time dependence we determined for an eigenstate doesn't make sense. No matter what state a particle starts in, the wave function has to spread out so that it fills all the available space, due to the uncertainty principle. Eventually, that means that all positions will be equally probable." Do you agree or disagree with this statement? Explain your reasoning. You may wish to include examples that support or refute different aspects of this statement.

Explanation / Answer

completely agree with the statement.

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