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1) It still is an energy eigenstate, unless I've confused something somewhere. The Hamiltonian applied to Ψ(r, t) should give the same value for E regardless of t.

2) I certainly agree that QM is the basis to everything. However, with the quantum gravity issue, I didn't want to imply it was a grand unified theory to someone who wasn't familiar with QM.

3) I haven't taken a solid state physics course, so I'm afraid I don't know enough to answer that.




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