Dispersion of Klauder's temporally stable coherent states for the hydrogen atom

Details Dispersion of Klauder's temporally stable coherent states for the hydrogen atom Dispersion of Klauder's temporally stable coherent states for the hydrogen atom

1998-04-30

arxiv.org/abs/quant-ph/9804074v1

J.Phys. A31 (1998) L445

Physics

Quantum Physics

6 pages, 2 figures

Scientific paper

10.1088/0305-4470/31/24/001

We study the dispersion of the "temporally stable" coherent states for the hydrogen atom introduced by Klauder. These are states which under temporal evolution by the hydrogen atom Hamiltonian retain their coherence properties. We show that in the hydrogen atom such wave packets do not move quasi-classically; i.e., they do not follow with no or little dispersion the Keplerian orbits of the classical electron. The poor quantum-classical correspondence does not improve in the semiclassical limit.

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