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Positronium in an Electric Field:
The Stark Effect

   

Just as quantum particles can be represented by a lot of beads, they are also represented as fuzzy balls, showing the possible locations of the particle. To the left is a representation of free positronium, with no elecric field. The center of the electron and positron are pretty much on top of one another.

When a weak elecric field is applied, the particles want to move in opposite directions in the field, but they are still attracted to each other, so they end up separated by a distance z.