ADVANTAGES

where you are supposed to imagine that those ASCII stairs are actually continuous,smooth curves. Imagine, furthermore, that the distance between the two lumps in thisdiagram is much larger than the width of a lump. If you know some quantum mechanics,you know that in the absence of any forces, the lumps will just spread out symmetrically(well, if the particles are identical we have to worry about other details when they startto overlap substantially, but if the lumps are far apart that won't happen for awhile). If there is an overall constant potential energy, that will give the wavefunctions an additional rotating phase, but we can always ignore that without affectingany physical quantities.

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