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Coherent States for the Hydrogen Atom

John R. Klauder
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Abstract

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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John R. Klauder. 1995-11-23. Coherent States for the Hydrogen Atom. https://doi.org/10.1088/0305-4470/29/12/002

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