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.

Phys. Rev. A

Kalinski, M, Eberly, J. H, West, J. A, & Stroud jr., C. R. (2003). Rutherford atom in quantum theory. Phys. Rev. A, 67(Article number: 32503), 1–5. doi:10.1103/physreva.67.032503