Is Schrödinger's Conjecture for the Hydrogen Atom Coherent States Attainable

Details Is Schrödinger's Conjecture for the Hydrogen Atom Coherent States Attainable Is Schrödinger's Conjecture for the Hydrogen Atom Coherent States Attainable

1993-11-08

arxiv.org/abs/nucl-th/9311006v1

Physics

Nuclear Physics

Nuclear Theory

10 pages, report #

Scientific paper

10.1103/PhysRevA.50.R1973

We construct the most general SO(4,2) hydrogen atom coherent states which are
the counterpart of Schr\"{o}dinger's harmonic oscillator coherent states. We
show that these states cannot be localized and cannot follow the classical
orbits. Thus, Schr\"{o}dinger's conjecture for the hydrogen atom coherent
states is unattainable.

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