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comment Uncertainty Principle for a Totally Localized Particle
But what about a macroscopic object(and that is why I'm confused)? For example, a stone. Common sense would tell us it can be totally localized and momentum be zero. Is it because the Planck constant is too small so we cannot observe the spreading?
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comment About the energy with the repulsive potential
Thanks, but how to see there is no solution for $E=0$ more clearly? Actually I have thought that my numerical solution tends to a solution with $E=0$.