Why is this paradox?

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    I am not sure. Is it because the previous result was obtain from quantum mechanics, while this toy model is considered classically?

    In classical electrostatics, if we add a negative charge between two positive charges, the energy will decrease.

    In that quantum formula, the electron density in the center is negative, and there is a negative sign before that term, so the whole contribution is positive.

    Is this the reason?

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