Coherent States for the Hydrogen Atom

Details Coherent States for the Hydrogen Atom Coherent States for the Hydrogen Atom

1995-11-23

arxiv.org/abs/quant-ph/9511033v1

J.Phys. A29 (1996) L293-L298

Physics

Quantum Physics

8 pages, TeX, no figures

Scientific paper

10.1088/0305-4470/29/12/002

The long-standing problem of finding coherent states for the (bound state portion of the) hydrogen atom is positively resolved. The states in question: (i) are normalized and are parameterized continuously, (ii) admit a resolution of unity with a positive measure, and (iii) enjoy the property that the temporal evolution of any coherent state by the hydrogen atom Hamiltonian remains a coherent state for all time.

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