Name: Coherent states for the hydrogen atom
Creator: John R. Klauder
Keywords: Quantum Physics, hydrogen atom, Applications of operator theory in the physical sciences, 0103 physical sciences, FOS: Physical sciences, Coherent states, coherent states, Quantum Physics (quant-ph), 01 natural sciences, 7. Clean energy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 21 Jun 1996Embargo end date: 01 Jan 1995Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and General, volume 29, pages L293-L298 (issn: 0305-4470, eissn: 1361-6447,

Authors: John R. Klauder;

doi: 10.1088/0305-4470/29/12/002 , 10.48550/arxiv.quant-ph/9511033

arXiv: http://arxiv.org/abs/quant-ph/9511033

Coherent states for the hydrogen atom

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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.

8 pages, TeX, no figures

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University of Florida
United States

Keywords

Quantum Physics, hydrogen atom, Applications of operator theory in the physical sciences, FOS: Physical sciences, Coherent states, coherent states, Quantum Physics (quant-ph)

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