Rutherford atom in quantum theory

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Abstract
We predict the existence of a self-sustained one-electron wave packet moving on a circular orbit in the helium atom. The wave packet is localized in space, but does not spread in time. This is a realization within quantum theory of a classical object that has been called a “Rutherford atom,” a localized planetary electron on an unquantized circular orbit under the influence of a massive charged core.