Phys. Rev. Lett. 83, 5190–5193 (1999)Exact Wave Functions for the Coulomb Problem from Classical OrbitsReceived 25 August 1999; published in the issue dated 20 December 1999 We present a simple formula that expresses energy eigenfunctions for the Coulomb problem exactly and entirely in terms of the corresponding classical orbits. Since both energy eigenvalues and eigenfunctions can be obtained exactly by a semiclassical procedure, the full quantum dynamics of the electron in a Coulomb field can be expressed completely in terms of its classical motion. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.5190
DOI:
10.1103/PhysRevLett.83.5190
PACS:
03.65.Sq, 03.65.Ge, 31.15.Gy
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